name: math-comp_train
num_files: 75
language: COQ
few_shot_data_path_for_retrieval: null
few_shot_metadata_filename_for_retrieval: null
dfs_data_path_for_retrieval: null
dfs_metadata_filename_for_retrieval: local.meta.json
theorem_cnt: 11381
datasets:
- project: <path-to-repo>/math-comp/
  files:
  - path: mathcomp/solvable/abelian.v
    theorems:
    - trivg_exponent
    - abelian_type_dvdn_sorted
    - Ohm_leq
    - abelem_Ohm1P
    - expg_exponent
    - TI_Ohm1
    - rankJ
    - abelian_splits
    - isog_abelem
    - morphim_pElem
    - nElem1P
    - rank_Ohm1
    - pnElem0
    - rankS
    - pElemP
    - nElem0
    - Ohm1Eexponent
    - p_rank_Ohm1
    - rank_pgroup
    - pmaxElemS
    - is_abelemP
    - p_rank_pmaxElem_exists
    - exponent_witness
    - p_rank_dprod
    - abelian_type_dprod_homocyclic
    - morphim_rank_abelian
    - quotient_p_rank_abelian
    - dprod_exponent
    - abelem_cyclic
    - isog_rank
    - cprod_abelem
    - Ohm1_id
    - abelian_type_gt1
    - morphim_LdivT
    - card_pnElem
    - isog_homocyclic
    - p_rankS
    - injm_pnElem
    - card_p1Elem
    - Ohm1_homocyclicP
    - morphim_Ohm
    - quotient_pnElem
    - eq_abelian_type_isog
    - abelian_type_sorted
    - p_rank_Hall
    - max_card_abelian
    - p_rank_p'quotient
    - isog_Mho
    - abelian_type_pgroup
    - LdivT_J
    - Ohm1Eprime
    - OhmEabelian
    - nElemS
    - abelem_Ohm1
    - Mho1
    - Mho_leq
    - pnElemP
    - quotient_LdivT
    - p_rank1
    - nElemP
    - quotient_grank
    - exponent_quotient
    - abelemP
    - sub_Ldiv
    - Ohm1_eq1
    - isog_abelem_card
    - rank_gt0
    - fin_lmod_char_abelem
    - abelem_order_p
    - injm_rank
    - p_rank_le_logn
    - Ohm_dprod
    - pnElemPcard
    - pElemJ
    - pnat_exponent
    - rank_abelian_pgroup
    - injm_pElem
    - p_rank_le_rank
    - cyclic_abelem_prime
    - p_rank_gt0
    - dprod_abelem
    - Ohm_Mho_homocyclic
    - injm_abelem
    - OhmS
    - pmaxElem_exists
    - pi_of_exponent
    - card_p1Elem_p2Elem
    - quotient_Ldiv
    - pmaxElem_LdivP
    - abelem_pgroup
    - OhmJ
    - Ohm0
    - exponent_injm
    - grank_abelian
    - nElemI
    - pmaxElemP
    - partn_exponentS
    - abelian_type_subproof
    - injm_pmaxElem
    - abelem1
    - abelem_homocyclic
    - Mho_sub
    - OhmPredP
    - exponent_isog
    - Mho_dprod
    - isog_Ohm
    - p_rank_witness
    - quotient_pElem
    - injm_nElem
    - exponent1
    - exponentS
    - exponentP
    - trivg_Mho
    - Ohm_char
    - LdivJ
    - p_rankJ
    - Mho_normal
    - p_rankElem_max
    - size_abelian_type
    - Ohm_sub
    - cyclic_pgroup_dprod_trivg
    - quotient_abelem
    - pElemI
    - rank_abelem
    - nt_pnElem
    - exponent_Hall
    - isog_abelian_type
    - card_p1Elem_pnElem
    - dprod_homocyclic
    - exponent_cyclic
    - morphim_grank
    - morphim_abelem
    - LdivP
    - pmaxElemJ
    - Ohm_p_cycle
    - injm_Ldiv
    - cprod_exponent
    - p_rank_abelian
    - abelian_structure
    - abelemE
    - morphim_p_rank_abelian
    - MhoE
    - p1ElemE
    - Ohm1_abelem
    - fin_Fp_lmod_abelem
    - rank1
    - Ohm_normal
    - homocyclic1
    - Ohm1_cent_max
    - p2Elem_dprodP
    - morphim_pnElem
    - exponent_gt0
    - group_Ldiv
    - p_rank_Sylow
    - prime_abelem
    - morphim_Ldiv
    - sub_LdivT
    - MhoJ
    - exponent_dvdn
    - Mho_cprod
    - Mho_char
    - Ohm_id
    - logn_le_p_rank
    - exponent_dprod_homocyclic
    - mul_card_Ohm_Mho_abelian
    - cycle_abelem
    - injm_p_rank
    - dvdn_exponent
    - pElemS
    - pnElemI
    - grank_min
    - OhmE
    - abelemJ
    - abelem_splits
    - grank_witness
    - Mho_p_elt
    - pnElemE
    - isog_p_rank
    - meet_Ohm1
    - abelem_pnElem
    - pnElemJ
    - MhoEabelian
    - Ohm1_cyclic_pgroup_prime
    - rank_Sylow
    - abelian_type_abelem
    - rank_geP
    - homocyclic_Ohm_Mho
    - p_rank_quotient
    - abelian_type_homocyclic
    - MhoS
    - logn_quotient
    - card_homocyclic
    - abelian_exponent_gen
    - exponentJ
    - def_pnElem
    - isog_grank
    - is_abelem_pgroup
    - fin_ring_char_abelem
    - exponent_cycle
    - count_logn_dprod_cycle
    - abelian_rank1_cyclic
    - Mho_cont
    - piOhm1
    - p_rank_geP
    - injm_grank
  - path: mathcomp/algebra/mxalgebra.v
    theorems:
    - mxrank_cap_compl
    - eqmxMfull
    - rowV0P
    - ltmx_irrefl
    - adds0mx
    - map_capmx_gen
    - addsmx_nop0
    - cent_mx_ideal
    - mxrank_sum_leqif
    - mxrank0
    - stablemxN
    - row_free_castmx
    - map_row_base
    - mulsmxDl
    - map_row_ebase
    - ltmx1
    - capmx_eq_norm
    - mxrank_mul_ker
    - mxrankS
    - mxrankE
    - diffmxE
    - map_capmx
    - eqmxMfree
    - ltmxErank
    - eq_row_full
    - row_sub
    - sub_capmx
    - summx_sub
    - eqmx_conform
    - matrix_modr
    - row_fullP
    - mxrankM_maxr
    - capmx_idPl
    - cap0mx
    - mxrank_opp
    - logn_card_GL_p
    - mxrank_adds_leqif
    - rank_leq_row
    - map_submx
    - mulsmx_subP
    - stablemx0
    - negb_row_free
    - stablemx_sums
    - mxring_id_uniq
    - sub_daddsmx
    - rank_ltmx
    - sub_addsmxP
    - eqmx_col
    - mxrank_fullrowsub
    - sub_dsumsmx
    - mxrank_ker
    - eqmx_eq0
    - capmx_norm_eq
    - row_subP
    - capmxC
    - nary_mxsum_proof
    - addsmx_addKl
    - genmx_id
    - rowsub_comp_sub
    - sub_ltmx_trans
    - genmx_cap
    - addsmx_nop_eq0
    - addsmx_compl_full
    - mxdirect_addsP
    - maxrowsub_free
    - mxrankMfree
    - mulsmxS
    - sub_rVP
    - lt1mx
    - eq_maxrowsub
    - row_full_unit
    - stablemxC
    - rank_rV
    - proj_mx_sub
    - center_mxP
    - fullrankfun_inj
    - addsmx_addKr
    - capmx_diff
    - sumsmx_subP
    - eqmxMunitP
    - mulsmxA
    - card_GL
    - mulmxKpV
    - stablemx_unit
    - memmx1
    - mulmxP
    - eqmxP
    - lt0mx
    - center_mx_sub
    - inj_row_free
    - addsmx_idPr
    - eq_genmx
    - rowsub_sub
    - mxdirect_adds_center
    - proj_mx_compl_sub
    - row_full_inj
    - eq_row_base
    - eqmx_stable
    - mulmx_coker
    - row_subPn
    - genmx_sums
    - eq_rank_unitmx
    - addmx_sub_adds
    - submx_full
    - genmx_diff
    - rank_diag_block_mx
    - addsmx_nop_id
    - submx_rowsub
    - eqmx_sym
    - memmx_addsP
    - genmx0
    - addsmxE
    - submx_refl
    - submxElt
    - ltmxE
    - capmx1
    - capmx_idPr
    - submxMl
    - addsmxS
    - map_genmx
    - fullrowsub_full
    - lt_eqmx
    - mulmx1_min_rank
    - eqmx_rank
    - row_full_castmx
    - capmx_nopP
    - stablemxD
    - sub_sumsmxP
    - memmx0
    - mxdirect_trivial
    - row_base_free
    - mxrank_tr
    - eqmx_scale
    - mxrank_disjoint_sum
    - mxrank_injP
    - maxrowsub_full
    - mxrank_leqif_sup
    - sub0mx
    - row_free_map
    - addsmx_diff_cap_eq
    - capmxMr
    - adds0mx_id
    - adds_eqmx
    - mem0mx
    - map_cokermx
    - pinvmx_full
    - mxrank_map
    - memmx_map
    - mulsmxP
    - eigenvalueP
    - kermx0
    - mulsmx0
    - eigenvectorP
    - mxdirect_sumsE
    - capmxSr
    - mulmx0_rank_max
    - add_proj_mx
    - submx0
    - mxdirect_sums_center
    - nz_row_sub
    - complete_unitmx
    - scalar_mx_cent
    - map_center_mx
    - mulmxKp
    - eigenvalue_map
    - cokermx_eq0
    - eqmx_opp
    - map_kermx
    - eqmx_sums
    - eq_fullrowsub
    - col_mx_sub
    - card_GL_1
    - capmx0
    - stablemxM
    - sub_kermxP
    - sumsmx_sup
    - muls0mx
    - eqmxMr
    - eq_row_sub
    - mxdirect_sumsP
    - mulVpmx
    - mxring_idP
    - mulsmxDr
    - mxrank1
    - Gaussian_elimination_map
    - stable0mx
    - capmxE
    - sub_bigcapmxP
    - cap1mx
    - eqmx_refl
    - mxdirect_sums_recP
    - row_full_map
    - mxrank_scale_nz
    - mxrank_coker
    - row_free_inj
    - rV_subP
    - map_pinvmx
    - map_cent_mx
    - mxdirect_sum_eigenspace
    - cent_mx_fun_is_linear
    - mxrank_gen
    - cent_mxP
    - mulmxKV_ker
    - row_freeP
    - mxdirect_delta
    - rank_col_mx0
    - scalemx_sub
    - comm_mx_stable
    - mxrank_delta
    - mxdirect_addsE
    - submx_trans
    - map_col_base
    - rank_copid_mx
    - comm_mx_stable_ker
    - capTmx
    - capmx_nop_id
    - map_eigenspace
    - stableCmx
    - eqmx0
    - sub_qidmx
    - addsmx_sub
    - eqmx_sum_nop
    - capmx_normP
    - stablemx_row_base
    - mxdirectEgeq
    - memmx_sumsP
    - map_mulsmx
    - pinvmx_free
    - addsmxSr
    - rank_mxdiag
    - stableDmx
    - eqmx_rowsub_comp_perm
    - has_non_scalar_mxP
    - rank_col_0mx
    - capmxSl
    - mulmx_ebase
    - addsmx0_id
    - addsmxC
    - row_free_unit
    - ltmx_trans
    - genmx1
    - genmx_bigcap
    - ltmx_sub_trans
    - mem_mulsmx
    - proj_mx_0
    - maxrankfun_inj
    - map_eqmx
    - capmxA
    - qidmx_cap
    - mxrankM_maxl
    - eqmx_rowsub
    - stablemx_full
    - sumsmxMr
    - cap_eqmx
    - comm_mx_stable_eigenspace
    - mxdirectE
    - fullrowsub_free
    - submxMr
    - bigcapmx_inf
    - memmx_subP
    - mxrank_leqif_eq
    - addsmxMr
    - mulmxVp
    - map_col_ebase
    - fullrowsub_unit
    - rank_row_mx0
    - submx0null
    - eqmx_cast
    - matrix_modl
    - ltmx0
    - mxdirectP
    - sub_sums_genmxP
    - mxrank_add
    - addsmx_idPl
    - card_GL_2
    - ltmxW
    - eigenspaceP
    - cent_mx_ring
    - mxrank_Frobenius
    - diffmxSl
    - sub_kermx
    - submxMfree
    - row_ebase_unit
    - mxrank_mul_min
    - genmx_witnessP
    - memmx_eqP
    - sumsmxS
    - capmx_witnessP
    - map_complmx
    - addsmx0
    - mxrank_scale
    - sub_capmx_gen
    - submxE
    - muls_eqmx
    - sub1mx
    - capmx_compl
    - proj_mx_id
    - cent_rowP
    - rank_row_0mx
    - eqmx_trans
    - mulmx_free_eq0
    - submxP
    - addsmxSl
    - capmxT
    - sumsmxMr_gen
    - col_leq_rank
    - submx1
    - eqmx0P
    - ltmxEneq
    - mxrank_unit
    - map_diffmx
    - genmx_adds
    - rank_pid_mx
    - map_addsmx
  - path: mathcomp/algebra/matrix.v
    theorems:
    - map_col_mx
    - det0
    - scalemx_inj
    - mx11_scalar
    - mxcol_const
    - mxcol_sum
    - unitmx1
    - trmxK
    - lin1_mx_key
    - row_mxEl
    - map_mx_key
    - mxsize_recl
    - eq_mxdiag
    - mul_mxcol_mxrow
    - mul_row_block
    - col_permM
    - mxrow0
    - mxrowD
    - mxvecE
    - colsub_comp
    - row_usubmx
    - mx_vec_lin
    - scalar_mx_sum_delta
    - map2_usubmx
    - scale1mx
    - det_inv
    - map2_col_perm
    - mxtrace_is_scalar
    - map_mxN
    - map2_row_mx
    - mul_scalar_mx
    - add_row_mx
    - unitmxE
    - mx0_is_diag
    - map_xcol
    - delta_mx_rshift
    - map2_row
    - col_mxblock
    - mxtrace_mxblock
    - col'_eq
    - col_mx_key
    - map2_mxsub
    - tr_scalar_mx
    - mxblockEh
    - row_mx0
    - determinant_alternate
    - mul_rVP
    - submxblockB
    - trmx_adj
    - row_mxKr
    - col_rsubmx
    - map2_1mx
    - mxsub_comp
    - mxcolB
    - mx_rV_lin
    - map_mx_id_in
    - trmx_delta
    - mulVmx
    - scalar_mx_block
    - trmx_drsub
    - is_perm_mx_tr
    - mulmx_is_scalable
    - addmx_key
    - map_tperm_mx
    - det_mulmx
    - eq_castmx
    - scale_scalar_mx
    - map2_lsubmx
    - scalar_mx_is_additive
    - tr_col
    - mulmxN
    - mulmx_colsub
    - is_diag_block_mx
    - map_row_mx
    - mul_pid_mx
    - mxcol_recu
    - scalemxAr
    - usubmxEsub
    - mxsub_mul
    - mxvec_cast
    - diag_mx_sum_delta
    - cast_col_mx
    - mulNmx
    - mulmxBl
    - rowE
    - map2_conform_mx
    - trmx_const
    - invmx_out
    - xcolE
    - mulmx1
    - submxblockK
    - mxblock_recul
    - rowP
    - xcol_const
    - perm_mxV
    - diag_const_mx
    - row_mxsub
    - mulKVmx
    - mul_rV_lin
    - colP
    - comm_mx_sym
    - map_mxsub
    - col_mx_eq0
    - tr_row_mx
    - xrowEsub
    - flatmxOver
    - rowsubE
    - det_diag
    - map_mxZ
    - mxblockD
    - mul_vec_lin_row
    - rsubmxEsub
    - tr_row'
    - map_ursubmx
    - trmx_usub
    - row_mx_key
    - mul_delta_mx
    - diag_mx_is_linear
    - invmx_scalar
    - mxOver_opp_subproof
    - cormen_lup_correct
    - mul_block_col
    - row_rowsub
    - eq_mxsub
    - delta_mx_dshift
    - pid_mx_row
    - scalemxDl
    - rowK
    - curry_mxvec_bij
    - map_lin1_mx
    - block_mxEdr
    - map_mxB
    - comm_mxB
    - lift0_perm_eq0
    - castmxKV
    - mxOverM
    - map2_col_mx
    - scale_col_mx
    - map2_mxC
    - col_mxsub
    - idmxE
    - mxtrace_scalar
    - is_perm_mxMr
    - mul_row_col
    - tr_submxblock
    - submxK
    - lift0_perm0
    - col_mxdiag
    - map2_mxvec
    - trmx_cast
    - map_row_perm
    - block_mx0
    - eq_mxcol
    - mul_diag_mx
    - mul_xcol
    - mxcolN
    - map_drsubmx
    - map2_vec_mx
    - map2_mx0
    - mxOverZ
    - opp_row_mx
    - block_mxEul
    - const_mx_key
    - col_perm_const
    - vec_mx_eq0
    - scalemxDr
    - map2_mxA
    - intro_unitmx
    - map2_ursubmx
    - tr_mxrow
    - trmx1
    - col_colsub
    - map2_mx1
    - row1
    - map_mxM
    - row'Kd
    - mxblock0
    - GL_VxE
    - opp_block_mx
    - mul_rowsub_mx
    - col'_const
    - tr_mxcol
    - map2_rsubmx
    - is_diag_trmx
    - mxEmxrow
    - scalemxAl
    - tr_pid_mx
    - submxrow_matrix
    - eq_rowsub
    - trigmx_ind
    - mul_mxrow_mxblock
    - block_mxEdl
    - submxrowD
    - row_permEsub
    - adjZ
    - map2_mx_left
    - expand_det_row
    - det_lblock
    - map_col_perm
    - is_scalar_mx_is_diag
    - ursubmxEsub
    - col_eq
    - row_mxrow
    - rowsub_comp
    - vsubmxK
    - lift0_perm_lift
    - mxblockK
    - mulmx_sum_row
    - mxOverS
    - mxOver_diagE
    - mulmxDr
    - tr_xrow
    - col_mxEu
    - map_scalar_mx
    - mxrowP
    - cast_row_mx
    - matrix_key
    - mx0_is_trig
    - det_tr
    - rowEsub
    - cormen_lup_upper
    - diagsqmx_ind
    - map2_mx_key
    - mul_mx_row
    - tr_row
    - is_trig_mxblockP
    - GL_ME
    - mul_mxdiag_mxcol
    - GL_unitmx
    - block_mx_eq0
    - mul_mxdiag_mxblock
    - mxdiagN
    - tr_perm_mx
    - mul_mxrow
    - mxsub_id
    - mxtrace_is_semi_additive
    - mxsub_ffun
    - row_perm1
    - mul_mx_scalar
    - is_diag_mxP
    - submxcol_sum
    - mxcol_mul
    - row_mx_eq0
    - mx0_is_scalar
    - is_scalar_mx_is_trig
    - mxrowN
    - tr_col'
    - castmx_comp
    - is_perm_mxMl
    - map_lin_mx
    - mx11_is_diag
    - eq_block_mx
    - lin_mulmx_is_linear
    - addNmx
    - mxrow_const
    - mul_pid_mx_copid
    - opp_col_mx
    - trmx0
    - trmx_mxsub
    - row_mxA
    - mxvec_delta
    - delta_mx_key
    - col_mx0
    - rV0Pn
    - mxdiagD
    - is_diag_mxEtrig
    - unitmxZ
    - mxcol0
    - map_mxD
    - map_usubmx
    - eq_mxblockP
    - row_permM
    - tr_block_mx
    - map2_trmx
    - invmx_block_diag
    - col_perm_key
    - mulmx1_unit
    - dsubmxEsub
    - comm_mxM
    - summxE
    - scale_block_mx
    - ulsubmx_diag
    - mul_delta_mx_cond
    - add_block_mx
    - eq_in_map_mx
    - col0
    - mul_dsub_mx
    - map2_xcol
    - unitmx_mul
    - vec_mxK
    - mxtraceD
    - trmx_mul
    - map2_mxDl
    - trmxV
    - cV0Pn
    - col'Kl
    - mxOver_scalarE
    - cofactor_map_mx
    - mul_mxblock
    - mxOver_add_subproof
    - mxOver_constE
    - pid_mx_col
    - mxblockEv
    - mxvec_indexP
    - all_comm_mx1
    - map_copid_mx
    - mul_adj_mx
    - map_diag_mx
    - block_mxKdl
    - mxblock_recu
    - mxsub_ffunl
    - pid_mx_minh
    - unitmx_inv
    - conform_castmx
    - mxOverP
    - mxsub_const
    - submxrowN
    - mxrowB
    - scalemxA
    - mxdiagB
    - col'_col_mx
    - col_lsubmx
    - map_pid_mx
    - map_mx_id
    - submxcol_matrix
    - cofactorZ
    - col1
    - map2_dlsubmx
    - is_trig_mxP
    - is_trig_block_mx
    - col_permE
    - delta_mx_lshift
    - eq_row_mx
    - xrowE
    - mxsubcr
    - mxdiag0
    - scalemx_const
    - comm_mxN
    - copid_mx_id
    - trmx_inv
    - vec_mx_delta
    - mxOver_const
    - mx1_sum_delta
    - eq_map2_mx
    - submxcolN
    - row_mx_const
    - map_mx_eq0
    - lift0_permK
    - col_const
    - pid_mx_id
    - all_comm_mxP
    - pid_mx_block
    - row_const
    - ulsubmxEsub
    - block_mxKul
    - scalar_mx_key
    - colKr
    - comm_mxE
    - delta_mx_ushift
    - row_mxdiag
    - row_diag_mx
    - comm1mx
    - diagmx_ind
    - scalar_mx_is_diag
    - row_permE
    - det_mx11
    - swizzle_mx_is_semi_additive
    - col_mxA
    - comm_mx_refl
    - ursubmx_trig
    - is_diag_mxblock
    - trmx_mul_rev
    - scalar_mx_is_multiplicative
    - map_mx_is_scalar
    - mul_mxblock_mxrow
    - mxcolK
    - xrow_const
    - submxcol0
    - castmx_id
    - submxrow0
    - eq_map_mx
    - map_mx_is_multiplicative
    - scalar_mxM
    - mxvec_eq0
    - mulmx1C
    - usubmx_key
    - tr_col_mx
    - mxsub_ffunr
    - col_permEsub
    - mulmx0
    - submxblockN
    - map_const_mx
    - trmx_dlsub
    - trmx_dsub
    - mxsub_ind
    - map_mx_adj
    - submxblockEv
    - mulmx_lsub
    - col_mxKd
    - map2_ulsubmx
    - mulmxA
    - pid_mx_minv
    - colsub_cast
    - submxblockEh
    - row_perm_const
    - unitmx_tr
    - row_eq
    - all_comm_mx2P
    - block_mxEh
    - mul_copid_mx_pid
    - scalar_mxC
    - map_row
    - submxrow_sum
    - eq_colsub
    - castmx_sym
    - submxblock_diag
    - mul_col_perm
    - submxrowB
    - map_lsubmx
    - col_mxcol
    - block_mxEv
    - row'_const
    - is_perm_mxP
    - comm_mxP
    - mxcolD
    - mulmx_diag
    - matrix_eq0
    - map2_0mx
    - diag_mx_comm
    - mxrowK
    - castmxK
    - eq_col_mx
    - mul_rV_lin1
    - colKl
    - drsubmx_diag
    - perm_mxM
    - row'_eq
    - flatmx0
    - map_block_mx
    - eq_mxcolP
    - all_comm_mx_cons
    - trace_map_mx
    - map_conform_mx
    - ringmx_ind
    - mul_submxrow
    - map2_const_mx
    - comm_mx_scalar
    - det_map_mx
    - mul_col_row
    - eq_mxrow
    - trmx_lsub
    - map_mx_inv
    - detM
    - submxblock0
    - expand_det_col
    - comm0mx
    - card_mx
    - rowKd
    - tr_xcol
    - pid_mx_key
    - castmxEsub
    - lsubmxEsub
    - row'_row_mx
    - row0
    - swizzle_mx_is_additive
    - rowKu
    - submxblock_sum
    - oppmx_key
    - map_dsubmx
    - map2_dsubmx
    - col_row_permC
    - mxOver0
    - map2_col'
    - dlsubmxEsub
    - diag_mxrow
    - map_unitmx
    - map_mx_comp
    - hsubmxK
    - pid_mx_1
    - scalar_mx_is_trig
    - trace_mx11
    - mulmx_block
    - const_mx_is_additive
    - map2_mx_right_in
    - mxsub_eq_id
    - scalar_mx_is_scalar
    - mxtrace_is_additive
    - detZ
    - map_mx1
    - ulsubmx_trig
    - block_diag_mx_unit
    - mul_row_perm
    - mul_vec_lin
    - mul1mx
    - dsubmx_key
    - map_dlsubmx
    - diag_mx_row
    - cormen_lup_lower
    - exp_block_diag_mx
    - vec_mx_key
    - mxdiag_recl
    - map_row'
    - eq_mxblock
    - map_mx_inj
    - row_thin_mx
    - xcolEsub
    - map2_drsubmx
    - map_invmx
    - mulKmx
    - map2_row_perm
    - perm_mx1
    - col_mx_const
    - map_mx_unit
    - add_col_mx
    - mul0mx
    - det_mx00
    - mx'_cast
    - swizzle_mx_is_scalable
    - det_scalar1
    - mxblock_sum
    - mul_usub_mx
    - is_diag_mxblockP
    - eq_mxrowP
    - colE
    - mxtraceZ
    - map_trmx
    - mxtrace_tr
    - trmx_conform
    - is_perm_mxV
    - col'Esub
    - mxblock_recl
    - matrixP
    - invmxZ
    - mxtrace1
    - nz_row_eq0
    - mxsub_eq_colsub
    - row_ind
    - mxOver_scalar
    - mx11_is_trig
    - mxEmxblock
    - mulmx_key
    - tperm_mxEsub
    - map2_mx_right
    - unitmx_perm
    - mulmxK
    - eq_in_map2_mx
    - comm_mxD
    - map_ulsubmx
    - mxvecK
    - mxdiagZ
    - diag_mx_key
    - dlsubmx_diag
    - GL_MxE
    - det_perm
    - mxdiag_sum
    - mxsub_eq_rowsub
    - GL_1E
    - row_mxKl
    - map2_block_mx
    - col_perm1
    - mxE
    - mxvec_dotmul
    - lin_mul_row_is_linear
    - eq_mxdiagP
    - GL_det
    - mulmxE
    - comm_mx_sum
    - row_matrixP
    - map2_castmx
    - mxEmxcol
    - tr_row_perm
    - col_id
    - trmx_rsub
    - map_delta_mx
    - map2_col
    - is_trig_mxblock
    - castmxE
    - det0P
    - map2_mxDr
    - unitr_trmx
    - det1
    - row_row_mx
    - diag_mxP
    - rowsub_cast
    - map_col
    - det_trig
    - det_ublock
    - cormen_lup_perm
    - comm_scalar_mx
    - is_diag_mx_is_trig
    - GL_unit
    - matrix_sum_delta
    - col_flat_mx
    - cofactor_tr
    - mul_mxrow_mxcol
    - mxtrace_mulC
    - colEsub
    - mul_mx_adj
    - diag_mx_is_trig
    - submxrowK
    - mxtrace_diag
    - lift0_mx_perm
    - diag_mxC
    - scalemx1
    - row'Esub
    - trigsqmx_ind
    - trmx_eq0
    - scalemx_key
    - adjugate_key
    - lin_mulmxr_is_linear
    - row_mul
    - map2_mx_left_in
    - mulmx_suml
    - is_perm_mx1
    - row_id
    - trmx_ulsub
    - map_mx0
    - submxblockD
    - map_perm_mx
    - tr_mxdiag
    - pid_mxErow
    - mxblock_const
    - scale_row_mx
    - submxcol_mul
    - row_mxEr
    - sqmx_ind
    - map_mxvec
    - castmx_const
    - pid_mxEcol
    - mulmxKV
    - mxsubrc
    - detV
    - mulmxDl
    - mxOver_diag
    - GL_VE
    - mxtrace0
    - expand_cofactor
    - mxrow_sum
    - mx_ind
    - mulmx_sumr
    - mulmxBr
    - matrix0Pn
    - matrix_nonzero1
    - col'Kr
    - row_mxcol
    - col_mxKu
    - map_vec_mx
    - determinant_multilinear
    - perm_mx_is_perm
    - tr_col_perm
    - mulmxnE
    - drsubmx_trig
    - comm_mxN1
    - diag_mx_is_additive
    - mxblockN
    - col_col_mx
    - mxblockP
    - submxcolB
    - row_mxblock
    - row_sum_delta
    - lsubmx_key
    - comm_mx0
    - det_Vandermonde
    - nonconform_mx
    - conform_mx_id
    - mxcolEblock
    - block_mx_const
    - map_rsubmx
    - block_mxKur
    - rsubmx_key
    - trmx_key
    - tr_mxblock
    - block_mxKdr
    - thinmx0
    - mxsub_cast
    - pid_mx_0
    - trmx_inj
    - mulmxV
  - path: mathcomp/ssreflect/order.v
    theorems:
    - lt_Taggedl
    - diffE
    - leU2E
    - bigmin_inf
    - sub_bigmax_seq
    - joinxB
    - gt_min
    - le_sorted_filter
    - join0x
    - min_minKx
    - joinUA
    - meetUr
    - subset_bigmax
    - ltxi_tuplePlt
    - rcomplPmeet
    - refl
    - lcomparable_leP
    - comparable_lteifNE
    - codiffErcompl
    - bigmaxD1
    - compl_joins
    - setKIC
    - arg_maxP
    - refl
    - comparable_bigl
    - lexU
    - lt_def
    - meetUl
    - leIxr
    - orEbool
    - le0x
    - trans
    - meetxx
    - enumT
    - le0s
    - size_enum_ord
    - nhomo_ltn_lt_in
    - ltxx
    - join_cons
    - disj_diffr
    - lcmE
    - lt_def
    - sig_bij_on
    - trans
    - join_idPr
    - decnP
    - ltn_def
    - ltgtP
    - trans
    - incomparable_eqF
    - count_lt_nth
    - joinKIC
    - diffxB
    - meet_eq1
    - eq_minr
    - comparable_contra_leq_lt
    - le_sig
    - joinBI
    - contra_not_lt
    - comparable_contra_leq_le
    - sub_in_bigmax
    - complEcodiff
    - incn_inP
    - enum_setT
    - meetUl
    - comparable_lteif_minr
    - lt_asym
    - meetUA
    - mono_leif
    - eq_le
    - rcomplPmeet
    - compl_inj
    - diffxx
    - le_path_filter
    - count_lt_ge
    - le_meetU
    - les0
    - sub_bigmin
    - enum_val_inj
    - opred_joins
    - meetKU
    - meetIB
    - meet1x
    - contra_lt_le
    - joinKI
    - diffKI
    - sort_le_sorted
    - bigmin_geP
    - meetUl
    - rcomplPmeet
    - max_r
    - maxxx
    - meetUl
    - comparable_maxl
    - comparable_contra_lt_le
    - maxEge
    - ltxi_cons
    - opred1
    - bigmax_eq_arg
    - comparable_contraTle
    - joinA
    - contra_leq_le
    - leifP
    - le_path_min
    - lteifN
    - sig2K
    - lt_sorted_pairwise
    - meet_def_le
    - comparable_leNgt
    - ltxi0s
    - lcomparable_ltP
    - joinE
    - comparable_min_maxr
    - leU2l_le
    - botEprodlexi
    - nmono_in_leif
    - count_lt_le_mem
    - minEge
    - min_l
    - bigmin_le_cond
    - le_cons
    - bigmax_ge_id
    - meetxC
    - diffBx
    - comparable_arg_maxP
    - sub_tprod_lexi
    - comparable_ge_max
    - inj_homo_lt_in
    - lteif_minr
    - le_bigmax_ord
    - joinxx
    - compl_meets
    - comparable_contraPle
    - joinC
    - ge_trans
    - comparable_minC
    - join_r
    - comparable_maxEge
    - joinUKC
    - anti
    - comparable_le_max
    - joins_disjoint
    - subset_bigmin
    - le_bigmax2
    - homo_ltn_lt_in
    - comparable_minCA
    - comparable_max_idPl
    - leU2
    - eqTleif
    - lex1
    - comparable_ltgtP
    - eq_diff
    - leI2
    - ltEnat
    - leI2l_le
    - joinIKC
    - gt_comparable
    - le_anti
    - eq_joinl
    - joinEprod
    - comparable_contra_not_le
    - minEgt
    - max_minl
    - anti
    - eq_leLR
    - leC
    - total
    - enum_val_nth
    - gcdE
    - nonincnP
    - lexi_pair
    - leUx
    - comparable_contraFle
    - nth_count_le
    - idfun_is_join_morphism
    - joinBx
    - diff1x
    - bigmin_idl
    - filter_le_nth
    - meetUKC
    - le_lt_asym
    - diffIx
    - min_idPl
    - lt1x
    - refl
    - lexUr
    - maxElt
    - enum_uniq
    - leW_mono
    - ge_comparable
    - lteif_imply
    - lt_val
    - rcomplEprod
    - lt_trans
    - lexi_tupleP
    - le_anti
    - maxKx
    - lexUl
    - leUl
    - trans
    - enum_ord
    - omorph0
    - bigmin_gtP
    - meetUl
    - le_Taggedl
    - le_bigmin_nat_cond
    - leEseq
    - lex1
    - lexI
    - maxCA
    - joinA
    - join_idPl
    - wlog_lt
    - lt_Taggedr
    - comparable_sym
    - contra_leq_lt
    - diffKU
    - lexI
    - minC
    - eqRank
    - comparable_maxKx
    - lt_max
    - le_max
    - enum_valP
    - lt_min
    - bigmax_mkcondl
    - nth_enum_ord
    - enum_valK
    - maxAC
    - tnth_meet
    - comparable_max_minr
    - enum_rank_inj
    - omorphI
    - joinKI
    - le_anti
    - le_enum_val
    - refl
    - eq_bigmax
    - joinAC
    - bigmax_idr
    - sub_prod_lexi
    - codiffEprod
    - joinUC
    - leif_le
    - le_bigmin_ord_cond
    - meets_total
    - comparable_minEgt
    - join1x
    - bigmin_set1
    - le_trans
    - sig_bij
    - lt_path_sortedE
    - leEsig
    - diffUx
    - leEseqlexi
    - meetEprod
    - joinxx
    - topEdual
    - diffErcompl
    - comparable_contra_lt
    - bigmax_mkcond
    - meetA
    - lteif_maxl
    - lt_eqF
    - tnth_join
    - joinIl
    - dec_inj
    - comparable_contraNlt
    - codiffErcompl
    - botEtprod
    - bigmin_eq_arg
    - topEord
    - sigK
    - bigmax_ltP
    - ltx1
    - mask_sort_le
    - leEdual
    - joinEsubset
    - lt_def
    - joinCx
    - tnth_codiff
    - meetEsubset
    - lt_leif
    - subseq_lt_sorted
    - diffKI
    - bigmax_le
    - lteifNE
    - meets_setU
    - eq_meetr
    - le_def
    - le_max_id
    - rank_bij
    - comparable_maxAC
    - leI2E
    - meetsP_seq
    - neqhead_ltxiE
    - subseq_lt_path
    - leBRL
    - lt_sorted_leq_nth
    - lteifF
    - diffErcompl
    - subseq_le_sorted
    - lcomparable_ltgtP
    - subseq_le_path
    - joinx1
    - meets_inf_seq
    - meetKUC
    - bigmin_mkcondl
    - enum_rank_bij
    - count_le_gt
    - opred_meets
    - rcomplEtprod
    - codiffErcompl
    - ltrW_lteif
    - contra_lt_not
    - lt_nsym
    - neq_lt
    - meetUl
    - comparable_contra_ltn_le
    - lt_neqAle
    - joinA
    - bigmin_idr
    - gtE
    - meet_eq0E_diff
    - valI
    - ltxI
    - bigminUl
    - lt_sorted_eq
    - sort_lt_sorted
    - bigminUr
    - inj_homo_lt
    - maxEgt
    - comparable_ge_min
    - comparable_contra_le
    - comparable_lt_min
    - le_eqVlt
    - index_enum_ord
    - le_meets
    - diff0x
    - sub_in_bigmin
    - eq_joinr
    - set_enum
    - comparable_maxxK
    - le_bigmax_nat_cond
    - rankEsum
    - comparable_contraPlt
    - valD
    - ge_anti
    - bigmax_eq_id
    - botEsubset
    - omorphU
    - meetIKC
    - diffxU
    - inj_nhomo_lt
    - leif_trans
    - meetKI
    - contra_ltF
    - joinKU
    - meetKU
    - lt_rank
    - sorted_mask_sort_le
    - lt_path_pairwise
    - nth_enum_rank_in
    - gt_max
    - nth_count_gt
    - enum_rankK_in
    - bigmax_idl
    - ltEprod
    - comparable_contra_le_lt
    - joinsP_seq
    - ltEseqlexi
    - contra_leF
    - leI2r_le
    - le_bigmin
    - joins_setU
    - le_le_trans
    - prod_display_unit
    - sort_lt_id
    - lteif_maxr
    - lexI
    - meetA
    - comparable_minl
    - maxEle
    - bigmin_split
    - leIl
    - rcomplPmeet
    - maxC
    - ltn_def
    - rcomplKU
    - lt_pair
    - eq_leRL
    - dvdE
    - sub_bigmin_seq
    - complK
    - rcomplPmeet
    - ltW_nhomo_in
    - inj_nhomo_lt_in
    - omorph_lt
    - meet0x
    - perm_sort_leP
    - diffxI
    - leEtprod
    - rank_inj
    - joinKI
    - nmono_leif
    - le_min
    - complEsubset
    - comparable_minAC
    - le_enum_rank
    - comp_is_bottom_morphism
    - joinA
    - comparable_lteif_maxl
    - ord_display
    - joins_min_seq
    - lex1
    - le_bigmax
    - le_sorted_ltn_nth
    - le_sorted_eq
    - count_le_nth
    - leif_refl
    - anti
    - sdvdE
    - complEbool
    - meet_idPr
    - le_def
    - nth_count_ge
    - val1
    - meetUC
    - lt_def
    - le_gtF
    - diffEtprod
    - meetBx
    - anti
    - meetsP
    - ltW_homo_in
    - meetE
    - leBUK
    - comparable_minEge
    - complEdiff
    - meetx1
    - complEcodiff
    - disj_leC
    - lt_def
    - mem_enum
    - meet_cons
    - comparable_le_min
    - joinBIC
    - meets_inf
    - comparable_arg_minP
    - sub_bigmax_cond
    - minElt
    - meetA
    - complEtprod
    - joinKI
    - incnP
    - meetxx
    - lteifNF
    - topEsubset
    - bigminD1
    - bigmaxIr
    - gt_def
    - nat_display
    - lteif_trans
    - comparable_minACA
    - le_trans
    - meets_ge
    - Rank1K
    - joinC
    - contra_le_not
    - lt_wval
    - comparable_contraTlt
    - ltW
    - cardT
    - leW_mono_in
    - le_path_mask
    - arg_minP
    - eq_Rank
    - joinxx
    - lteif_anti
    - complU
    - leIx2
    - join_l
    - ge_leif
    - lt_sorted_mask
    - nth_count_lt
    - bigmax_leP
    - meet_idPl
    - eqhead_ltxiE
    - nondecnP
    - opredU
    - min_minxK
    - meetxx
    - le_bigmin_nat
    - le_comparable
    - bigminD
    - leEord
    - comparable_maxr
    - bigmaxD
    - meetUl
    - meets_seq
    - min_maxr
    - maxEnat
    - maxA
    - comparable_min_maxl
    - bigminIr
    - leBr
    - leEbool
    - contra_ltn_lt
    - homo_ltn_lt
    - enum_set0
    - enum_val_bij
    - complEdiff
    - ltEbool
    - botEord
    - subset_bigmin_cond
    - lexI
    - meet_eql
    - lexis0
    - bigmax_imset
    - join_eq0
    - complEprod
    - disjoint_lexUr
    - codiffErcompl
    - le_mono_in
    - totalT
    - minACA
    - compl0
    - setKUC
    - rcomplPjoin
    - leIr
    - complB
    - lex1
    - ltx0
    - joinsP
    - rect
    - comparable_maxA
    - leIx
    - leEmeet
    - le_sig1
    - leUidr
    - cover_leIxr
    - le_pair
    - meetEtotal
    - comparable_eq_maxl
    - enum_valK_in
    - joinUKI
    - comparable_lteif_minl
    - joinBKC
    - comp_is_nondecreasing
    - complEcodiff
    - meetUK
    - leP
    - rank_bij_on
    - diffUK
    - mono_sorted_enum
    - le_bigmax_cond
    - sorted_filter_le
    - leU2r_le
    - wlog_le
    - posxP
    - minxx
    - leNgt
    - bigmaxU
    - contra_ltT
    - joins_min
    - lexI
    - rcomplKI
    - bigmax_split
    - leEjoin
    - complEdiff
    - mono_in_leif
    - meetxB
    - RankEsum
    - lt_sorted_filter
    - comparable_leP
    - lexi_display
    - setTDsym
    - bigmaxID
    - contra_le_leq
    - leUx
    - leBLR
    - meet_r
    - lt_sig
    - leCx
    - bigmax_set1
    - min_idPr
    - trans
    - filter_sort_le
    - comparable_lteif_maxr
    - leW_nmono
    - le_trans
    - lt_total
    - mono_unique
    - contra_leT
    - le0x
    - bigmaxIl
    - complEdiff
    - bigmax_lt
    - contra_le_lt
    - le_sorted_mask
    - comparable_min_idPr
    - joinIr
    - opredI
    - comparable_minKx
    - joinxC
    - comparable_max_minl
    - ltxi_pair
    - leB2
    - idfun_is_top_morphism
    - inc_inj
    - nondecn_inP
    - comparable_ltNge
    - complErcompl
    - min_r
    - le_Taggedr
    - le_rank
    - subEsubset
    - le_total
    - refl
    - complEcodiff
    - leEsubset
    - lex0
    - bigmin_imset
    - topEtlexi
    - lexI
    - sub_bigmin_cond
    - meetKU
    - bigminID
    - ltxU
    - comparable_minxK
    - le_sorted_pairwise
    - lteif_minl
    - diffEprod
    - ltW_nhomo
    - bigmin_mkcond
    - filter_lt_nth
    - eq_enum_rank_in
    - comparable_eq_minr
    - seqprod_display
    - diffx0
    - val0
    - bigmaxUl
    - leBC
    - lcomparableP
    - le0x
    - le_anti
    - leIidr
    - sig_inj
    - contra_not_le
    - le0x
    - omorph1
    - topEprod
    - meetEdual
    - leEjoin
    - contraFle
    - joinUK
    - ltEdual
    - tnth_compl
    - meetCx
    - ltUx
    - lt_comparable
    - leEprodlexi
    - enum0
    - contra_lt_ltn
    - bigminU
    - eq_bigmin
    - comparable_maxACA
    - contra_ltN
    - nth_enum_rank
    - le_mono
    - dec_inj_in
    - comparableT
    - le_bigmax_nat
    - total
    - orbE
    - setIDv
    - ltIx
    - comparable_contra_not_lt
    - lteifW
    - ge_total
    - ge_min
    - leIxl
    - enum_rank_in_inj
    - rankE
    - lt_def
    - minEnat
    - botEprod
    - contraPle
    - comparable_lt_max
    - joinEdual
    - trans
    - lt_geF
    - contraFlt
    - topEprodlexi
    - meetKU
    - nth_ord_enum
    - nat1E
    - sub_bigmax
    - meetIK
    - ge_antiT
    - comparableP
    - comp_is_join_morphism
    - meets_max_seq
    - geE
    - joinBK
    - joinEtotal
    - eq_leif
    - leEnat
    - lt_path_filter
    - ltxi_lehead
    - card
    - minA
    - nth_count_eq
    - inc_inj_in
    - eq_cardT
    - ge_anti
    - subEbool
    - le_lt_trans
    - joinC
    - contra_lt
    - leEmeet
    - le0x
    - lt_bigmin
    - meetUl
    - val_enum_ord
    - lteifS
    - disjoint_lexUl
    - lt0B
    - diffErcompl
    - ltEord
    - disj_le
    - comparablexx
    - le_bigmax_ord_cond
    - seqlexi_display
    - eq_minl
    - meetUKU
    - ltNleif
    - le1x
    - dvd_display
    - leUx
    - eqhead_lexiE
    - meetKI
    - meet_l
    - enum_val_bij_in
    - leUx
    - contra_le_ltn
    - comp_is_meet_morphism
    - meetx0
    - contra_le
    - comparable_minA
    - botEtlexi
    - contraPlt
    - total
    - contra_lt_leq
    - opredU
    - joinKI
    - bigmin_le_id
    - joinEseq
    - meetC
    - min_maxl
    - disj_diffl
    - lt_Rank
    - comparable_maxEgt
    - meetC
    - lexi_lehead
    - le_trans
    - joins_seq
    - Rank2K
    - sub_seqprod_lexi
    - mem2_sort_le
    - lt_le_trans
    - lt_sorted_uniq_le
    - bigmin_eq_id
    - botEnat
    - le_path_sortedE
    - valU
    - sorted_subseq_sort_le
    - lt_leAnge
    - subset_bigmax_cond
    - max_maxxK
    - le_bigmin_ord
    - comparable_contraNle
    - lt0x
    - leif_eq
    - lexU2
    - rankK
    - sigE12
    - minKx
    - bigmax_mkcondr
    - sorted_filter_ge
    - meetKIC
    - meetEtprod
    - meetxx
    - subseq_sort_le
    - le0x
    - leIidl
    - totalU
    - ltxis0
    - lt_def
    - comparable_contraFlt
    - tnth_diff
    - ltEtprod
    - contra_ltn_le
    - joinIB
    - meets_max
    - nhomo_ltn_lt
    - andEbool
    - leW_nmono_in
    - comparable_minr
    - lteifT
    - minCA
    - leEprod
    - bool_display
    - contraNlt
    - sorted_filter_lt
    - eq_maxr
    - LatticePred.opred_meets
    - le_joins
    - bigmin_le
    - lt_sorted_uniq
    - disj_leC
    - andbE
    - minxK
    - omorph_le
    - join_def_le
    - meetACA
    - botEdual
    - eq_ltRL
    - le_bigmin2
    - max_l
    - ltxi_tupleP
    - gt_eqF
    - rcomplPjoin
    - eq_enum
    - anti
    - lt_val
    - meetC
    - topEsig
    - rcomplPjoin
    - joinx0
    - cardE
    - topEtprod
    - joinEtprod
    - refl
    - maxACA
    - cover_leIxl
    - joinIl
    - nat0E
    - codiffEtprod
    - eq_maxl
    - max_maxKx
    - joins_le
    - lexi0s
    - lexC
    - joinIK
    - sorted_filter_gt
  - path: mathcomp/solvable/gfunctor.v
    theorems:
    - idGfun_closed
    - gFmod_cont
    - gFgroupset
    - gFnormal_trans
    - trivGfun_cont
    - gFmod_hereditary
    - gFunctorS
    - morphimF
    - injmF_sub
    - gFnorm_trans
    - gFsub_trans
    - injmF
    - pcontinuous_is_hereditary
    - gFisog
    - idGfun_cont
    - gFcont
    - gFnorm
    - gFunctorI
    - gFmod_closed
    - idGfun_monotonic
    - gFchar
    - gFnorms
    - gFcompS
    - gFchar_trans
    - gFhereditary
    - continuous_is_iso_continuous
    - gFiso_cont
    - gFcomp_cont
    - gFnormal
    - gFid
    - gFcomp_closed
    - gF1
    - gFisom
    - pmorphimF
    - pcontinuous_is_continuous
  - path: mathcomp/ssreflect/ssrnat.v
    theorems:
    - expnS
    - addnK
    - lt0b
    - ltn_subCl
    - ltn0
    - eq_binP
    - ltn_sqr
    - addnn
    - contra_leqF
    - mono_leqif
    - eqSS
    - ltn_predRL
    - minnSS
    - ltnSE
    - sqrnD_sub
    - leq_nmono
    - eq_ex_maxn
    - gtn_max
    - leq_eqVlt
    - ltn_Sdouble
    - addnBCA
    - ltn_pmul2r
    - half_leq
    - ltn_exp2l
    - maxnSS
    - minnMl
    - leqW
    - anti_leq
    - subnBAC
    - doubleS
    - odd_geq
    - add1n
    - subnDr
    - addn4
    - gtn_half_double
    - iter_muln
    - leq_mul2l
    - doubleE
    - half_bit_double
    - leq_addr
    - addn_eq0
    - leq_total
    - subnAC
    - ltn_predK
    - addn_eq1
    - muln_eq0
    - leqP
    - ltn_neqAle
    - iter_succn
    - mulnAC
    - addnE
    - expn_eq0
    - subnCBA
    - iter_addn_0
    - eqn_add2l
    - leq_sqr
    - minKn
    - ltnNge
    - eqnP
    - eq_iterop
    - doubleD
    - addSnnS
    - addn_negb
    - muln_gt0
    - leq_subCl
    - doubleK
    - leq_exp2r
    - leq_add2l
    - nat_of_mul_pos
    - contraTltn
    - subDnCAC
    - ltn_psubLR
    - prednK
    - muln0
    - eqnE
    - ltn_sub2l
    - minn_maxl
    - decn_inj_in
    - expnAC
    - addE
    - ltn_pfact
    - addnAC
    - uphalf_leq
    - subDnAC
    - expIn
    - leq_sub
    - mulSnr
    - oddB
    - addn_maxr
    - contra_ltn
    - maxn_minr
    - subSS
    - exp1n
    - leq_subRL
    - ubnPleq
    - minn_idPl
    - ltnW
    - mulnDl
    - leq_pmull
    - addnBAC
    - ltn_add2l
    - contra_leqN
    - ltnNleqif
    - leqif_eq
    - leq_exp2l
    - posnP
    - double_eq0
    - leq_sub2rE
    - oddE
    - anti_geq
    - inj_homo_ltn_in
    - maxnAC
    - subn1
    - inj_homo_ltn
    - ltP
    - leqNgt
    - nat_of_add_bin
    - expnMn
    - iter_muln_1
    - addnI
    - addBnA
    - leq_fact
    - ex_maxnP
    - leqif_mul
    - ltn_subRL
    - ltn_min
    - odd_uphalfK
    - eq_leq
    - lt0n
    - maxnn
    - mulnDr
    - ltn_subrR
    - addn_minl
    - iteropS
    - nat_semi_morph
    - ltnP
    - eqn_pmul2r
    - contra_ltnN
    - ltn_subLR
    - minnK
    - leqSpred
    - mulnn
    - minn_idPr
    - addnCA
    - eq_ex_minn
    - factS
    - even_halfK
    - leqif_refl
    - expnM
    - doubleB
    - oddD
    - subn_minl
    - ltn_psubCl
    - max0n
    - addn_maxl
    - subn0
    - geq_minr
    - iter_in
    - nat_of_mul_bin
    - subn_maxl
    - contra_leq_ltn
    - find_ex_minn
    - ltn_addl
    - leq_pfact
    - halfD
    - oddX
    - expE
    - ltngtP
    - leq_min
    - ltn_double
    - addn1
    - add3n
    - leq_uphalf_double
    - muln1
    - leq_sub2r
    - nat_AGM2
    - minn_maxr
    - geq_leqif
    - eqb0
    - expnE
    - plusE
    - double0
    - leq_mul2r
    - exp0n
    - eq_leqif
    - iter_predn
    - expnSr
    - minnACA
    - subnBl_leq
    - add2n
    - expn0
    - neq0_lt0n
    - addnBl_leq
    - addnCBA
    - eqn_add2r
    - eqn_exp2r
    - subn_eq0
    - iterX
    - muln_eq1
    - subnK
    - ltn_fact
    - oddS
    - iterM
    - leqifP
    - leqW_mono_in
    - ltn_mul2r
    - addnBA
    - minusE
    - minnA
    - minnCA
    - leq_sub2lE
    - factE
    - mulnb
    - add4n
    - contra_not_leq
    - iteriS
    - mulnACA
    - ltn_sub2rE
    - eqn_sub2rE
    - addnACl
    - nat_Cauchy
    - maxnMr
    - gtn_eqF
    - maxn0
    - even_uphalfK
    - leq_half_double
    - leq_maxl
    - lt0n_neq0
    - contraFleq
    - contra_ltn_not
    - oddN
    - leqif_trans
    - doubleMl
    - oddb
    - uphalfE
    - fact_geq
    - homo_ltn
    - eqn_leq
    - uphalf_gt0
    - leq_addl
    - iterS
    - addnBr_leq
    - addnS
    - ltn_Pmulr
    - ltn_expl
    - subnDAC
    - iter_addn
    - nat_of_binK
    - mulnC
    - incn_inj_in
    - addn2
    - ltn_trans
    - mulnA
    - ltn_addr
    - ltn_pexp2l
    - eqn0Ngt
    - iterSr
    - doubleE
    - ltn_exp2r
    - ltn_pmul2l
    - decn_inj
    - leq_double
    - maxnCA
    - incn_inj
    - mulnS
    - homo_leq
    - sqrn_gt0
    - fact_gt0
    - mulnBr
    - maxnC
    - contra_leq_not
    - leq_subrR
    - gtn_neqAge
    - addnBn
    - odd_ltn
    - nat_of_exp_bin
    - subnDl
    - eqb1
    - contraPltn
    - iter_fix
    - eqn_pmul2l
    - homo_ltn_in
    - contraFltn
    - inj_nhomo_ltn_in
    - subnKC
    - leq_pexp2l
    - subn_if_gt
    - lt_irrelevance
    - maxnK
    - leqnSn
    - ltn_add2r
    - odd_double
    - eqn_sub2lE
    - maxKn
    - sub1b
    - subnSK
    - ltnW_homo
    - eq_iteri
    - ltn_mul
    - maxnE
    - contraNleq
    - leq_b1
    - ltn_predL
    - leq_maxr
    - geq_half_double
    - maxnACA
    - mulnBl
    - bin_of_natK
    - eqn_mul2r
    - nat_of_succ_pos
    - ltnn
    - subSKn
    - addn0
    - ubnPeq
    - muln2
    - expnD
    - expn1
    - eqn_sqr
    - odd_double_half
    - maxn_idPr
    - ltn_eqF
    - double_gt0
    - ex_minnP
    - maxnA
    - subSnn
    - leq_mul
    - ltn_subrL
    - addnABC
    - maxnMl
    - subDnCA
    - subKn
    - fact0
    - leq_psubCr
    - maxn_minl
    - mulnCA
    - ltn_uphalf_double
    - subnDA
    - contra_ltnF
    - nat_semi_ring
    - leq_nmono_in
    - subnBr_leq
    - ltn_geF
    - contraPleq
    - minnMr
    - subBnAC
    - succnK
    - ltnSn
    - addKn
    - leq_max
    - leq_ltn_trans
    - mulnbl
    - addn3
    - ltn_sub2r
    - addnACA
    - leq_subr
    - mulSn
    - geq_minl
    - leqW_nmono_in
    - uphalf_double
    - leq_pmul2l
    - addnA
    - mulnE
    - add0n
    - ltn_mul2l
    - ltnW_nhomo_in
    - geq_min
    - addnC
    - iter_succn_0
    - gtn_uphalf_double
    - subn_sqr
    - min0n
    - contra_leqT
    - minn0
    - contraTleq
    - addBnCAC
    - ltn_leqif
    - leq_pred
    - addn_min_max
    - leq_gtF
    - addn_minr
    - subn_gt0
    - sub0n
    - oddM
    - leqnn
    - contra_ltn_leq
    - le_irrelevance
    - eqTleqif
    - minnC
    - leq_mono_in
    - sqrn_inj
    - ltnW_homo_in
    - succn_inj
    - mulnbr
    - subnBA
    - add_mulE
    - minnn
    - leq0n
    - mul0n
    - leq_subLR
    - leP
    - ltn0Sn
    - neq_ltn
    - mul1n
    - ltn_subCr
    - inj_nhomo_ltn
    - subnS
    - ubnP
    - subnn
    - addn_gt0
    - contra_leq
    - expnI
    - addnCAC
    - nat_of_add_pos
    - contraNltn
    - nat_power_theory
    - subnE
    - eqn_mul2l
    - ltn_Pmull
    - minnAC
    - sqrnB
    - expn_gt0
    - odd_gt0
    - addIn
    - leq_trans
    - leq_Sdouble
    - geq_max
    - eq_iter
    - leqVgt
  - path: mathcomp/solvable/nilpotent.v
    theorems:
    - nilpotentS
    - nilpotent1
    - lcn_normalS
    - ucn_char
    - ucn_sub
    - lcn_norm
    - quotient_sol
    - injm_sol
    - der_bigdprod
    - lcn_cont
    - lcn1
    - ucn_nilpotent
    - abelian_nil
    - der_bigcprod
    - quotient_center_nil
    - nil_comm_properl
    - lcn_sub
    - ucn0
    - morphim_ucn
    - isog_nil_class
    - nil_class0
    - morphim_nil
    - ucn_norm
    - lcnSnS
    - nilpotent_proper_norm
    - sol_der1_proper
    - ucnSn
    - cyclic_nilpotent_quo_der1_cyclic
    - isog_nil
    - der_cprod
    - der_dprod
    - lcnSn
    - lcn_char
    - series_sol
    - nilpotent_sub_norm
    - derivedP
    - abelian_sol
    - centrals_nil
    - ucn_lcnP
    - ucn_bigcprod
    - morphim_lcn
    - ucn_normalS
    - ucn_normal
    - ucn_group_set
    - ucn_central
    - lcnE
    - metacyclic_sol
    - bigdprod_nil
    - lcn_bigcprod
    - ucn_dprod
    - lcn_dprod
    - ucn_bigdprod
    - ucnP
    - morphim_sol
    - ucn_subS
    - nil_class_quotient_center
    - ucn_cprod
    - nilpotent_sol
    - lcn0
    - ucn_nil_classP
    - ucn_pmap
    - mulg_nil
    - nil_class_injm
    - solvable1
    - lcn2
    - lcn_sub_leq
    - lcnS
    - ucn_comm
    - nilpotent_class
    - nil_class_morphim
    - nil_comm_properr
    - ucn_sub_geq
    - center_nil_eq1
    - cprod_nil
    - nil_class1
    - lcn_normal
    - lcn_nil_classP
    - injm_ucn
    - dprod_nil
    - lcnP
    - lcn_bigdprod
    - quotient_ucn_add
    - lcn_central
    - lcn_cprod
    - ucnE
    - nilpotent_subnormal
    - nil_class_ucn
    - ucnSnR
    - lcn_group_set
    - isog_sol
  - path: mathcomp/algebra/fraction.v
    theorems:
    - pi_opp
    - addN_l
    - mulC
    - pi_mul
    - tofracMn
    - tofrac_eq0
    - pi_inv
    - equivf_def
    - equivf_r
    - Ratio_numden
    - Ratio0
    - tofrac_is_multiplicative
    - tofracMNn
    - tofrac1
    - addC
    - denom_ratioP
    - inv0
    - equivf_l
    - tofracB
    - mulA
    - mul1_l
    - Ratio_numden
    - add0_l
    - tofracD
    - tofracM
    - RatioP
    - mul_addl
    - equivf_refl
    - pi_add
    - numer0
    - tofrac_eq
    - equivfE
    - denom_Ratio
    - numer_Ratio
    - addA
    - tofracXn
    - nonzero1
    - tofrac_is_additive
    - tofracN
    - mulV_l
  - path: mathcomp/fingroup/action.v
    theorems:
    - astab1Js
    - actpermM
    - orbit_transl
    - atrans_dvd_index_in
    - orbit_inv
    - is_total_action
    - astabR
    - gacent1
    - qactE
    - porbit_actperm
    - afix_cycle
    - injm_faithful
    - sub_astabQ
    - setactVin
    - contra_orbit
    - astabsR
    - orbit_sym
    - afix_gen_in
    - conjG_is_action
    - astabs_Aut_isom
    - gact_stable
    - acts_joing
    - afix_actby
    - abelian_classP
    - actperm_id
    - afixS
    - quotient_astabQ
    - gactX
    - comp_is_groupAction
    - afixRs_rcosets
    - sub_afixRs_norms
    - orbit_in_sym
    - astab_setact_in
    - subset_faithful
    - qact_domE
    - acts_quotient
    - qact_proof
    - restr_permE
    - astab_norm
    - astabs_act
    - aperm_is_action
    - conj_astabQ
    - astabs_mod
    - orbit_conjsg_in
    - gacent_ract
    - setactE
    - trans_subnorm_fixP
    - orbitE
    - orbit_partition
    - card_orbit_stab
    - comp_is_action
    - acts_sum_card_orbit
    - astab_comp
    - afixJ
    - acts_in_orbit
    - sub_afixRs_norm
    - acts_subnorm_fix
    - gacent_actby
    - astabsP
    - acts_ract
    - astabQ
    - atrans_supgroup
    - card_orbit1
    - astabsJ
    - dom_qactJ
    - gacentY
    - orbit_in_eqP
    - actCJV
    - acts_gen
    - afix_cycle_in
    - atrans_acts
    - subgroup_transitiveP
    - actXin
    - astabU
    - astab1_set
    - amoveK
    - act_reprK
    - atrans_dvd_in
    - astabs_comp
    - afix_comp
    - sum_card_class
    - acts_subnorm_subgacent
    - astab_gen
    - astabs_range
    - acts_sub_orbit
    - afix_ract
    - orbitJ
    - gacentM
    - qactJ
    - actX
    - astabsU
    - afixM
    - sub_astab1_in
    - im_actm
    - gacentIdom
    - actsI
    - modactEcond
    - astabP
    - im_restr_perm
    - mem_setact
    - astab_normal
    - autactK
    - astabs_setact
    - card_setact
    - astab_subact
    - orbit_conjsg
    - fixSH
    - Cayley_isom
    - act_inj
    - orbit_stabilizer
    - triv_restr_perm
    - Aut_in_isog
    - restr_perm_isom
    - perm_act1P
    - astabM
    - sub_astab1
    - Cayley_isog
    - faithful_isom
    - orbit_in_trans
    - gacentC
    - ker_actperm
    - mactE
    - astab1Rs
    - rcoset_is_action
    - astab_sub
    - orbit_lcoset
    - morph_gacent
    - atransPin
    - orbitR
    - orbitJs
    - conjg_is_groupAction
    - atrans_acts_in
    - orbit_trans
    - setactJ
    - gacts_range
    - morph_astab
    - actMin
    - orbit_actr
    - afixU
    - subgacentE
    - ract_is_action
    - morph_gastab
    - orbit_refl
    - astabs_subact
    - orbit_eq_mem
    - afix_subact
    - amove_orbit
    - astab_act
    - actKin
    - orbit_lcoset_in
    - morphim_actm
    - gacentD1
    - morph_gact_irr
    - afixMin
    - astab1_act_in
    - actsD
    - gacent_comp
    - astabs_quotient
    - astab1_act
    - Aut_restr_perm
    - index_cent1
    - astabsQ
    - modact_faithful
    - astabs1
    - acts_act
    - orbit_rcoset
    - qact_is_groupAction
    - gacentQ
    - card_orbit
    - atransP
    - group_set_astab
    - atransP2in
    - injm_Aut_full
    - orbit_in_transl
    - gacentJ
    - card_conjugates
    - afixJG
    - gacent_cycle
    - actsU
    - faithfulR
    - perm_mact
    - astabs_actby
    - gactR
    - subgroup_transitivePin
    - mact_is_action
    - atrans_dvd
    - astabCin
    - modactE
    - gacent_gen
    - atrans_orbit
    - astabsIdom
    - afix_mod
    - astab1P
    - astabC
    - val_subact
    - acts_char
    - orbit_rcoset_in
    - sub_act_proof
    - astabRs_rcosets
    - isom_restr_perm
    - astabs_dom
    - modact_is_action
    - acts_irr_mod
    - afix1P
    - qactEcond
    - astab_mod
    - setact_orbit
    - restr_perm_commute
    - setact_is_action
    - group_set_astabs
    - gacentU
    - gacts_char
    - astabIdom
    - classes_partition
    - restr_perm_on
    - card_classes_abelian
    - reindex_astabs
    - class_formula
    - astabsI
    - astab_trans_gcore
    - sub_astabQR
    - Frobenius_Cauchy
    - orbitRs
    - gactV
    - orbitP
    - group_set_gacent
    - porbitE
    - astabQR
    - orbit_eqP
    - astab_actby
    - gacent_mod
    - astab_ract
    - amove_act
    - actmE
    - actM
    - atransP2
    - acts_qact_dom
    - comp_actE
    - restr_perm_Aut
    - morph_afix
    - astab_setact
    - ractE
    - orbit_morphim_actperm
    - acts_orbit
    - gact1
    - faithfulP
    - afixD1
    - orbit_act_in
    - card_orbit_in
    - astabs_set1
    - gacentS
    - actKV
    - actCJ
    - orbit_actr_in
    - ker_restr_perm
    - actmEfun
    - astab_range
    - astabsD1
    - injm_actm
    - astab1J
    - autact_is_groupAction
    - orbit1P
    - acts_irr_mod_astab
    - orbit_act
    - actby_is_action
    - modact_is_groupAction
    - astabsC
    - ractpermE
    - acts_fix_norm
    - orbit_transversalP
    - astabJ
    - modgactE
    - astab1
    - injm_Aut_sub
    - astab_dom
    - actsRs_rcosets
    - actsQ
    - Aut_sub_fullP
    - actpermE
    - afix_gen
    - acts_dom
    - astabS
    - gact_out
    - afix1
    - SymE
    - actmM
    - transRs_rcosets
    - morph_gastabs
    - gacentIim
    - acts_subnorm_gacent
    - subact_is_action
    - im_actperm_Aut
    - qact_subdomE
  - path: mathcomp/algebra/qpoly.v
    theorems:
    - in_qpoly_small
    - size_lagrange_
    - qpolyCN
    - qpolyC0
    - qpoly_mulz1
    - npolypK
    - qpolyC_proof
    - lagrange_gen
    - qpolyCM
    - qpolyC_is_multiplicative
    - npoly_is_a_poly_of_size
    - lagrange_free
    - in_qpolyZ
    - rVnpolyK
    - qpolyCD
    - lagrange_sample
    - qpoly_intro_unit
    - lagrangeE
    - mk_monic_neq0
    - mk_monic_X
    - card_monic_qpoly
    - monic_mk_monic
    - mem_npoly_enum
    - qpoly_mulA
    - poly_of_qpolyZ
    - size_mk_monic_gt0
    - nth_npolyX
    - qpolyXE
    - in_qpoly0
    - npoly_vect_axiom
    - poly_of_qpolyD
    - npolyP
    - in_qpolyM
    - coefn_sum
    - npoly_rV_K
    - npolyp_key
    - in_qpoly_multiplicative
    - coef_npolyp
    - qpoly_scaleDr
    - npolyX_gen
    - mk_monic_Xn
    - qpoly_nontrivial
    - qpoly_scaleAl
    - card_npoly
    - qpoly_scaleAr
    - qpolyC_natr
    - npoly_enum_uniq
    - npoly_submod_closed
    - qpoly_inv_out
    - size_mk_monic
    - card_qpoly
    - lagrange_def_sample
    - size_npoly0
    - qpolyC_is_additive
    - poly_of_qpoly_sum
    - lagrange_full
    - nth_lagrange
    - irreducible_poly_coprime
    - size_npoly
    - poly_of_qpolyX
    - in_qpoly1
    - polyn_is_linear
    - npolyX_coords
    - npolyX_full
    - poly_of_qpolyM
    - char_qpoly
    - qpoly_scaleA
    - npolyX_free
    - qpoly_mul_addl
    - qpoly_mul_addr
    - size_lagrange_def
    - size_lagrange
    - qpoly_mul1z
    - in_qpoly_is_linear
    - in_qpolyD
    - dim_polyn
    - qpoly_mulC
    - qpolyCE
    - lagrange_coords
    - lagrange_key
    - qpoly_mulzV
  - path: mathcomp/character/inertia.v
    theorems:
    - norm_inertia
    - cfConjg1
    - cfConjg_eqE
    - inertia_dprod
    - inertia_morph_im
    - cfRes_Ind_invariant
    - inertia_opp
    - cfclass_transr
    - Inertia1
    - inertia_mod_quo
    - inertia_valJ
    - cfConjgDprodr
    - cfConjgMorph
    - conj_cfConjg
    - cfConjgInd_norm
    - cfConjgInd
    - sub_inertia
    - cfConjgRes
    - cfRes_prime_irr_cases
    - constt_Ind_ext
    - Inertia_sub
    - conjg_IirrKV
    - cfConjg_is_linear
    - cfclassInorm
    - card_cfclass_Iirr
    - inertia_dprodr
    - cfclass_inertia
    - cfResInd
    - cfConjg_char
    - inertia_bigdprod_irr
    - cfConjgIsom
    - dvdn_constt_Res1_irr1
    - cfConjgMnorm
    - cfConjgE
    - conjg_Iirr_inj
    - inertia_bigdprodi
    - inertia_injective
    - cfAutConjg
    - cfConjgMod
    - inertia_add
    - normal_inertia
    - inertia_id
    - irr_induced_Frobenius_ker
    - sub_Inertia
    - sub_inertia_Res
    - cfConjgRes_norm
    - cfConjg_iso
    - cfclass_sym
    - extend_to_cfdet
    - cfclass1
    - extend_linear_char_from_Sylow
    - extend_solvable_coprime_irr
    - cfclass_Ind
    - cfConjgK
    - inertia_sum
    - sNG
    - cfclass_IirrE
    - inertia_irr0
    - reindex_cfclass
    - cfConjg_is_multiplicative
    - cfConjgQuo_norm
    - cfdot_irr_conjg
    - cfConjg_eq1
    - inertia_prod
    - cfDetConjg
    - Clifford_Res_sum_cfclass
    - inertia_irr_prime
    - extendible_irr_invariant
    - inertia0
    - cent_sub_inertia
    - conjg_Iirr_eq0
    - eq_cfclass_IirrE
    - cfConjgEJ
    - invariant_chief_irr_cases
    - cfConjgKV
    - sub_inertia_Ind
    - cfConjgQuo
    - inertia_Frobenius_ker
    - cfConjg_subproof
    - cfConjg_lin_char
    - cfConjgBigdprodi
    - cfConjg_id
    - inertia_scale_nz
    - cfConjg_cfuniJ
    - conjg_IirrK
    - cfclass_uniq
    - cfConjgDprodl
    - cfConjgEin
    - normal_Inertia
    - cfclassP
    - cent_sub_Inertia
    - conjg_IirrE
    - cfker_conjg
    - inertia_mul
    - inertia_dprodl
    - cfclass_invariant
    - center_sub_Inertia
    - inertia_sdprod
    - norm_Inertia
    - cfConjg_cfun1
    - inertia_dprod_irr
    - cfclass_refl
    - inertia_scale
    - inertiaJ
    - cfConjgEout
    - conjg_inertia
    - constt_Ind_mul_ext
    - cfConjgM
    - inertia_morph_pre
    - group_set_inertia
    - inertia1
    - extend_coprime_linear_char
    - cfConjgJ1
    - size_cfclass
    - constt0_Res_cfker
    - cfConjg_cfuni
    - cfConjgSdprod
    - cfConjgDprod
    - cfdot_Res_conjg
    - Frobenius_Ind_irrP
    - cfConjgBigdprod
    - solvable_irr_extendible_from_det
    - conjg_Iirr0
  - path: mathcomp/field/galois.v
    theorems:
    - comp_kHom_img
    - fixedPoly_gal
    - inAEndK
    - gal_oneP
    - aut_mem_eqP
    - gal_generated
    - galNormV
    - galM
    - kHom_to_gal
    - galTrace_fixedField
    - gal_kAut
    - kHom_extends
    - normalFieldS
    - galTrace_is_additive
    - galNormX
    - gal_matrix
    - kHom_lrmorphism
    - normalField_kAut
    - galNorm_gal
    - galois_connection_subset
    - gal_kHom
    - kAut1E
    - galK
    - galNorm_fixedField
    - mem_fixedFieldP
    - fixedFieldS
    - gal_eqP
    - normalField_galois
    - limg_gal
    - kHomExtend_scalable_subproof
    - normalField_cast_eq
    - kHomS
    - Hilbert's_theorem_90
    - kHom_eq
    - gal_reprK
    - memv_gal
    - kHom_poly_id
    - gal_cap
    - galoisS
    - normalField_isog
    - normalField_normal
    - kAEnd_norm
    - splittingFieldForS
    - galois_connection
    - normalField_isom
    - kHom_root
    - kAut_eq
    - normalField_root_minPoly
    - gal_independent
    - galois_fixedField
    - mem_galNorm
    - kHomExtend_poly
    - kHomExtend_id
    - gal_AEnd
    - fixedField_bound
    - k1HomE
    - kHom_to_AEnd
    - comp_AEndK
    - kHom_horner
    - gal_mulP
    - galS
    - splittingPoly
    - kAutS
    - gal_sgvalK
    - kHomExtendP
    - comp_AEnd1l
    - kAEnd_group_set
    - mem_kAut_coset
    - inv_is_ahom
    - galois_dim
    - galV
    - gal_is_morphism
    - normalField_img
    - gal_repr_inj
    - normalField_castM
    - kHomSr
    - fixedFieldP
    - gal_id
    - root_minPoly_gal
    - normalField_ker
    - galNorm_prod
    - kHom_kAut_sub
    - gal_invP
    - kHomSl
    - gal_independent_contra
    - kHom_is_additive
    - enum_AEnd
    - galois_factors
    - fixed_gal
    - fixedField_is_aspace
    - kHomExtend_val
    - galNorm_eq0
    - mem_galTrace
    - splitting_galoisField
    - kAutf_lker0
    - k1AHom
    - eq_galP
    - galois_connection_subv
    - kHom_is_multiplicative
    - galTrace_gal
    - splittingFieldP
    - galNorm1
    - kHom_dim
    - fieldOver_splitting
    - normalField_factors
    - kHom_root_id
    - kHomExtendE
    - kAutE
    - splitting_field_normal
    - gal_conjg
    - dim_fixedField
    - inv_kHomf
    - galNorm0
    - normal_fixedField_galois
  - path: mathcomp/field/qfpoly.v
    theorems:
    - card_primitive_qpoly
    - qlogp0
    - plogp0
    - map_fpoly_div_inj
    - qX_expK
    - qpoly_mulVp
    - coprimep_unit
    - sh_gt1
    - card_qfpoly
    - qpoly_inv0
    - qX_exp_neq0
    - qX_neq0
    - map_poly_div_inj
    - qX_in_unit
    - powX_eq_mod
    - qlogp_eq0
    - qlogp_qX
    - primitive_poly_in_qpoly_eq0
    - card_qfpoly_gt1
    - gX_order
    - in_qpoly_comp_horner
    - qX_order_dvd
    - plogp1
    - pred_card_qT_gt0
    - qlogpD
    - plogp_div_eq0
    - mk_monicE
    - primitive_polyP
    - qlogp1
    - qX_exp_inj
    - gX_all
    - qX_order_card
    - plogp_lt
    - primitive_mi
    - plogp_X
    - dvdp_order
  - path: mathcomp/solvable/finmodule.v
    theorems:
    - fmodV
    - actsgHG
    - fmodX
    - act0r
    - actr_is_groupAction
    - sgG
    - transfer_cycle_expansion
    - fmod_addrA
    - injHGg
    - fmod_addNr
    - congr_fmod
    - actZr
    - sum_index_rcosets_cycle
    - injHg
    - fmodK
    - fmval0
    - rcosets_cycle_transversal
    - actNr
    - injm_fmod
    - fmodP
    - coprime_abel_cent_TI
    - fmodKcond
    - actrKV
    - actrM
    - rcosets_cycle_partition
    - Gaschutz_transitive
    - transferM
    - fmvalN
    - actr1
    - fmod_add0r
    - fmvalJ
    - fmodJ
    - actr_is_action
    - transfer_indep
    - defHGg
    - fmod1
    - transfer_morph_subproof
    - actrK
    - fmvalA
    - fmvalJcond
    - fmod_inj
    - actAr
    - fmvalZ
    - sXG
    - Gaschutz_split
  - path: mathcomp/algebra/intdiv.v
    theorems:
    - dvdzz
    - gcd0z
    - Gauss_dvdzr
    - zprimitive_irr
    - modzMl
    - dvdpP_rat_int
    - gcdz1
    - mulz_modl
    - ltz_divRL
    - zchinese_mod
    - gcdz_idPl
    - divz_small
    - divzMpl
    - modz_ge0
    - divz_abs
    - eisenstein
    - zchinese_remainder
    - dvdz_Pexp2l
    - sgz_contents
    - size_zprimitive
    - zpolyEprim
    - gcdzCA
    - map_poly_divzK
    - modNz_nat
    - modz1
    - coprimeNz
    - dvdz_lcm
    - dvdz_charf
    - dvdp_rat_int
    - egcdzP
    - zprimitiveZ
    - modz_absm
    - dvdz_exp2r
    - expz_min
    - Gauss_dvdz
    - divz0
    - dvdz_lcmr
    - modzDm
    - dvdz_mull
    - zcontentsZ
    - modzDr
    - divzMr
    - modz_small
    - Gauss_dvdzl
    - gcdzN
    - dvd1z
    - divzMl
    - lcmz_neq0
    - ltz_ceil
    - modzNm
    - gcdzDr
    - zprimitive_id
    - zcontents_primitive
    - dvdz_eq
    - coprimez_pexpl
    - divz_ge0
    - coprimezE
    - gcdz_eq0
    - Qint_dvdz
    - sgz_lead_primitive
    - dvdz_mul2r
    - divNz_nat
    - gcdzDl
    - Gauss_gcdzl
    - dvdz0
    - zprimitive0
    - Qnat_dvd
    - modzDmr
    - zcontentsM
    - dvdz_mul2l
    - lez_pdiv2r
    - size_rat_int_poly
    - divzMA
    - modz_abs
    - gcdz_idPr
    - gcdz_modl
    - mulzK
    - modzMmr
    - lez_divRL
    - dvdzE
    - dvdz_mulr
    - divz_eq
    - dvdz_gcd
    - eqz_modDr
    - coprimezP
    - dec_Qint_span
    - mulKz
    - lcm0z
    - lez_divLR
    - zcontents_monic
    - ltz_pmod
    - modzDml
    - divzMDl
    - divzz
    - mod0z
    - expzB
    - divzK
    - gcdzMDl
    - zchinese_modl
    - coprimezMr
    - modz_nat
    - dvdz_trans
    - dvdz_pexp2r
    - mulz_modr
    - lcmzC
    - coprimez_dvdl
    - div0z
    - dvdzP
    - lcmz_ge0
    - divzDr
    - gcdzC
    - eqz_mod_dvd
    - divzMA_ge0
    - modzMm
    - eqz_mul
    - dvdz1
    - coprimez_sym
    - zprimitive_monic
    - dvdz_exp
    - gcdNz
    - mulz_gcdr
    - ltz_divLR
    - gcdzMr
    - gcdzA
    - int_Smith_normal_form
    - modzDl
    - dvd0z
    - dvdz_mod0P
    - rat_poly_scale
    - dvdz_gcdl
    - divz_mulAC
    - mulz_divA
    - polyOver_dvdzP
    - modzMml
    - gcdzACA
    - gcdzAC
    - Bezoutz
    - dvdz_gcdr
    - modzMDl
    - lez_div
    - mulz_divCA
    - dvdz_mul
    - zprimitiveM
    - Gauss_gcdzr
    - divzA
    - divzAC
    - dvdpP_int
    - modzXm
    - zcontents0
    - coprimezXr
    - modz_mod
    - zchinese_modr
    - lez_floor
    - divzMpr
    - modzN
    - mulz_gcdl
    - zprimitive_min
    - gcdz_modr
    - divzDl
    - divz1
    - zcontents_eq0
    - divz_nat
    - coprimezN
  - path: mathcomp/algebra/ssralg.v
    theorems:
    - rmorph_sign
    - oppr_eq0
    - pair_mulA
    - valZ
    - pair_mulC
    - rmorph_alg
    - lastr_eq0
    - charf'_nat
    - mull_fun_is_semi_additive
    - raddfZnat
    - unitrV
    - mulrDr
    - exprB
    - natrXE
    - charf0P
    - Frobenius_autMn
    - natrDE
    - cat_dnfP
    - scale_is_scalable
    - divalg_closedZ
    - prodfV
    - ffun_mul_addl
    - linearN
    - lregM
    - sqrrD
    - natr_mod_char
    - divalg_closedBdiv
    - scalarP
    - natn
    - semiring_closedM
    - exprDn_char
    - rpred_nat
    - subr_sqrDB
    - iter_addr
    - expr_sum
    - fmorph_eq
    - scale0r
    - unitrX_pos
    - dnf_to_rform
    - unitrN1
    - unitrX
    - mulr1
    - dnf_to_form_qf
    - mulr_signM
    - rpred_div
    - exprBn_comm
    - lregMl
    - commr_sym
    - sum_ffun
    - mulr2n
    - mulKr
    - foldExistsP
    - iter_addr_0
    - mulr_natl
    - scalerA'
    - rregP
    - rpredMNn
    - mulrDl
    - semiringClosedP
    - scaler0
    - solP
    - natrD
    - unitrPr
    - eq_sol
    - char_lalg
    - fmorphV
    - mulrI_eq0
    - pair_mulVl
    - ffun_addC
    - divrr
    - mulr1_eq
    - scalerBl
    - mul0r
    - addrNK
    - rpredMsign
    - submod_closedB
    - val1
    - idfun_is_scalable
    - rmorphMn
    - unitr0
    - eval_Pick
    - rmorphD
    - scalerAl
    - proj_satP
    - exprDn
    - commrN
    - sub0r
    - exprNn_char
    - size_sol
    - scalarAr
    - Frobenius_autE
    - rpred_sign
    - algMixin
    - ffun_scale_addl
    - mulr_fun_is_semi_additive
    - exprZn
    - scalable_linear
    - addrCA
    - pair_addC
    - rmorphN
    - rpred_prod
    - scalerCA
    - scaler_prodr
    - rmorph_unit
    - lalgMixin
    - compN1op
    - idfun_is_semi_additive
    - addr0
    - raddf0
    - scaler_suml
    - natr1E
    - addNr
    - mulrAC
    - telescope_prodf
    - sumrMnr
    - fmorph_eq1
    - lreg1
    - sqrf_eq1
    - expf_eq0
    - prodrMl
    - divr1_eq
    - exprNn
    - natf_neq0
    - mulrnDl
    - subr_sqr
    - in_algE
    - rpred_sum
    - mulrI0_lreg
    - pair_mulDl
    - addNKr
    - ffun_mulA
    - divr1
    - exprVn
    - ffun_scaleA
    - addrACA
    - charf_prime
    - signr_odd
    - mulIf
    - addrAC
    - mul0rn
    - addKr
    - Frobenius_autX
    - bool_fieldP
    - can2_linear
    - valB
    - addrI
    - rpredDr
    - prodrM_comm
    - scaler_unit
    - scalerDl
    - signrN
    - scalarZ
    - pair_add0
    - unitrMr
    - eq_sat
    - mulKf
    - invr_out
    - prodrN
    - rpred_divl
    - lregX
    - expr0
    - ffun_mul_0l
    - sdivr_closedM
    - rmorphV
    - rpredV
    - rmorph1
    - signrZK
    - scaler_prod
    - subrX1
    - raddfD
    - raddf_sum
    - rmorph_eq1
    - mulrnDr
    - sumr_const_nat
    - mulf_eq0
    - scaler_eq0
    - linearMn
    - invr_inj
    - imaginary_exists
    - addrr_char2
    - pairMnE
    - raddfZsign
    - rreg_neq0
    - rpredMl
    - natrB
    - exprBn
    - submodClosedP
    - scalerKV
    - subring_closed_semi
    - sub_fun_is_additive
    - pair_mulVr
    - unitrN
    - oner_eq0
    - raddfMn
    - pair_unitP
    - prodf_neq0
    - eqr_oppLR
    - sqrrB
    - mulr1n
    - rpredN1
    - mulVr
    - commrN1
    - quantifier_elim_rformP
    - add0U
    - val0
    - rpred1M
    - commrD
    - prodrMn_const
    - divrr
    - can2_semi_additive
    - valD
    - fpred_divr
    - expr1n
    - idfun_is_multiplicative
    - sqrf_eq0
    - valD
    - subr0
    - unitrM_comm
    - lregN
    - prodr_const
    - linearB
    - Frobenius_autB_comm
    - expr_mod
    - pair_mulr0
    - raddf_eq0
    - natrME
    - signr_addb
    - rev_unitrP
    - rpredBl
    - mulrn_char
    - prodr_undup_exp_count
    - invb_out
    - Frobenius_autD_comm
    - pair_mul1l
    - mulrACA
    - mulrN1
    - scalerMnr
    - additive_linear
    - invr_sign
    - pair_invr_out
    - signr_eq0
    - addIr
    - ffun_mul_0r
    - prodrMr_comm
    - eqr_div
    - linearPZ
    - rreg1
    - addUA
    - pair_scaleAr
    - comRingMixin
    - qf_evalP
    - comp_is_multiplicative
    - mulrC
    - invr_out
    - null_fun_is_semi_additive
    - div1r
    - mulrnAC
    - sumrN
    - expfB
    - signrE
    - addrN
    - natr0E
    - mulfVK
    - telescope_sumr_eq
    - divKr
    - sqrr_sign
    - divIr
    - pair_addA
    - expr2
    - mulf_neq0
    - mull_fun_is_scalable
    - lreg_neq0
    - subr_sqr_1
    - pair_mulDr
    - invr1
    - ffun_mulC
    - exprD
    - opp_is_additive
    - mulrS
    - commrM
    - add_fun_is_semi_additive
    - to_rform_rformula
    - mulrSr
    - mulVb
    - eq_eval
    - linearZ
    - iter_mulr
    - mulr_fun_is_scalable
    - raddfB
    - expr_dvd
    - raddfMnat
    - addrK_char2
    - rpred0
    - divKf
    - mulNr
    - unitrE
    - mulrnBr
    - rmorph_nat
    - mulrBl
    - unitfE
    - linearZZ
    - linearD
    - prodrMn
    - mulrN
    - mulrC
    - opprD
    - lreg_sign
    - rpredZeq
    - subIr
    - mulrNN
    - prodf_seq_neq0
    - null_fun_is_scalable
    - mul0r
    - mulrVK
    - subr_eq0
    - charf_eq
    - exprMn_n
    - mulfI
    - unitr1
    - divrI
    - mulr_suml
    - commr1
    - prodrXr
    - ffunMnE
    - raddfMNn
    - to_rterm_id
    - rregX
    - linearZ_LR
    - eqr_sum_div
    - rpredZsign
    - ffun_addN
    - divr_closedM
    - fmorph_char
    - Frobenius_autM_comm
    - pair_scaleDl
    - If_form_rf
    - smulr_closedM
    - pair_scaleDr
    - can2_scalable
    - scaler_sign
    - prodrMr
    - valD
    - addf_div
    - foldForallP
    - rregM
    - IdomainMixin
    - unitrMl
    - mulVKf
    - mulrCA
    - divring_closedBM
    - rpredX
    - mulr_sign
    - invr_eq1
    - subr_eq
    - scaleN1r
    - fst_is_scalable
    - rpredZnat
    - oppr0
    - submod_closedZ
    - fpred_divl
    - lregP
    - id
    - rpredDl
    - commr_refl
    - Frobenius_aut0
    - inv_out
    - sub_fun_is_scalable
    - subr0_eq
    - fpredMl
    - exprD1n
    - Frobenius_autN
    - raddf_inj
    - opp_is_scalable
    - linearP
    - invrN1
    - sol_subproof
    - If_form_qf
    - addrK
    - same_env_sym
    - divff
    - valM
    - raddfN
    - scaler_sumr
    - raddf0
    - ffun_mul_1l
    - rmorphXn
    - subring_closedB
    - scale_fun_is_scalable
    - invrN
    - commrB
    - valN
    - mulrnAl
    - subKr
    - ffun_scale_addr
    - pair_mul1r
    - raddfMsign
    - mulrA
    - mulrK
    - pair_scaleAl
    - qf_to_dnf_rterm
    - add_fun_is_scalable
    - eqf_sqr
    - scaler_prodl
    - subring_closedM
    - subrXX
    - pair_addN
    - commr_nat
    - ffun_scale1
    - intro_unit
    - divr_closedV
    - mulNrn
    - sum_ffunE
    - semiring_closedD
    - sumr_const
    - commrX
    - invfM
    - revrX
    - sumrMnl
    - Frobenius_aut_is_additive
    - telescope_prodr
    - scaler_injl
    - expr1
    - pair_one_neq0
    - invr_signM
    - expr0n
    - rmorphismMP
    - oner_neq0
    - mulr_natr
    - exprS
    - sqrrN
    - fmorph_eq0
    - scalerBr
    - mulr_algl
    - exprMn
    - addrKA
    - sqrrD1
    - natr1
    - mulr_algr
    - scalerMnl
    - mulVr
    - subalgClosedP
    - rmorphB
    - unitrM
    - divr_signM
    - signrMK
    - invrM
    - to_rformP
    - subr_char2
    - rmorph_prod
    - invr_eq0
    - smulr_closedN
    - invrK
    - sqrrB1
    - ffun_addA
    - prodrMl_comm
    - rmorph_comm
    - nat1r
    - opprB
    - rpred_divr
    - scalerI
    - mulfK
    - commr_sum
    - rpredD
    - unitrP
    - subalg_closedBM
    - rmorph_eq_nat
    - rmorph_char
    - linearMNn
    - divrNN
    - commr0
    - ffun1_nonzero
    - mulrnAr
    - comm_alg
    - divringClosedP
    - expr_div_n
    - unitr_sdivr_closed
    - oppr_char2
    - zmodClosedP
    - rpredMn
    - telescope_sumr
    - sumrB
    - rmorph0
    - rregMr
    - fmorph_unit
    - opprK
    - mul1r
    - fst_is_semi_additive
    - linear_sum
    - bin_lt_charf_0
    - raddfD
    - in_alg_is_additive
    - Pick_form_qf
    - subrXX_comm
    - commr_prod
    - scaler_nat
    - mulr0
    - valB
    - Frobenius_aut_nat
    - fmorph_div
    - linear_closedB
    - fmorph_inj
    - natrM
    - zmod_closedD
    - val0
    - rpredXN
    - linear0
    - mulIr0_rreg
    - telescope_prodr_eq
    - scalerAr
    - divrN
    - comp_is_scalable
    - comp_is_semi_additive
    - expf_neq0
    - mulr0
    - pair_scale1
    - rmorph_div
    - N1op
    - rpredB
    - addKr_char2
    - addr_eq0
    - snd_is_multiplicative
    - mulr0
    - snd_is_scalable
    - sdivr_closed_div
    - subalg_closedZ
    - scaleNr
    - rpredMr
    - rpredBC
    - rregN
    - qf_to_dnfP
    - can2_additive
    - ffun_add0
    - ffun_mul_1r
    - mulC_mulrV
    - commr_sign
    - scale1r
    - mulrnA
    - zmod_closedN
    - oppr_inj
    - mulN1r
    - mulr0n
    - rmorphM
    - invf_div
    - mulrnBl
    - snd_is_semi_additive
    - subringClosedP
    - natr_prod
    - charf0
    - quantifier_elim_wf
    - mulIr_eq0
    - char0_natf_div
    - exprMn_comm
    - prodf_eq0
    - commrMn
    - valM1
    - eval_tsubst
    - expfS_eq1
    - natf0_char
    - dvdn_charf
    - eq_holds
    - addr0_eq
    - mulrI
    - divring_closed_div
  - path: mathcomp/fingroup/gproduct.v
    theorems:
    - sdprod_isog
    - dprodEsd
    - sdprodWY
    - divgrM
    - pprodP
    - isog_set1X
    - cprodJ
    - sdpair1_morphM
    - cprod_normal2
    - ker_pprodm
    - setX_prod
    - dprodYP
    - remgr_id
    - dprodWY
    - injm_pair1g
    - dprodWcp
    - cprodWC
    - cprodE
    - bigcprodEY
    - sdpairE
    - pairg1_morphM
    - morphim_sdprodml
    - sdpair_act
    - pprodWY
    - remgrM
    - dprodP
    - sdprod_mul_proof
    - xsdprodm_act
    - morphim_pprodmr
    - morphim_coprime_dprod
    - quotient_pprod
    - sdprod_recr
    - dprodE
    - sdprodm_sub
    - sdprod_normal_complP
    - morphim_sdprodm
    - dprodWsdC
    - morphim_dprodmr
    - cprodmEl
    - actsEsd
    - cprodEY
    - divgr_eq
    - dprod_normal2
    - gacentEsd
    - sdprod_context
    - dprodmEl
    - setX_gen
    - im_xsdprodm
    - cprod0g
    - injm_bigdprod
    - mem_dprod
    - dprodm_eqf
    - subcent_TImulg
    - cprod_modr
    - cprod_modl
    - ker_sdprodm
    - im_cprodm
    - im_sdprodm
    - bigdprodYP
    - trivg0
    - setX_dprod
    - sdprodm_norm
    - sdpair2_morphM
    - sdprodWC
    - pprodWC
    - mem_sdprod
    - injm_sdpair1
    - morphim_cprodm
    - im_sdpair
    - bigcprodWY
    - morphim_pairg1
    - morphim_pprodm
    - complgC
    - dprod_modl
    - sdprod_compl
    - cprodW
    - sdprodmE
    - triv_cprod
    - quotient_coprime_dprod
    - dprodA
    - splitsP
    - remgrP
    - mul0g
    - snd_morphM
    - sdprod_recl
    - injm_sdpair2
    - group_not0
    - isog_setX1
    - cprodC
    - morphim_sdprodmr
    - isog_dprod
    - sdpair_setact
    - divgrMl
    - bigdprod_card
    - sdprod_mul1g
    - dprodg1
    - sdprod_mulVg
    - sdprodE
    - morphim_cprodml
    - quotient_sdprodr_isom
    - dprodm_cprod
    - sdprod_modl
    - pprodmM
    - quotient_sdprodr_isog
    - quotient_coprime_sdprod
    - injm_sdprodm
    - index_sdprod
    - dprodEY
    - dprod_modr
    - pair1g_morphM
    - sdprodJ
    - dprod_card
    - cprodg1
    - sdprodm_eqf
    - dprod1g
    - sdprod_modr
    - bigdprodWY
    - pprodE
    - morphim_cprodmr
    - bigdprodW
    - cprodm_sub
    - remgrMid
    - sdprodWpp
    - sdprod_inv_proof
    - index_sdprodr
    - ker_dprodm
    - reindex_bigcprod
    - imset_mulgm
    - extprod_mulVg
    - injm_dprod
    - cprod_ntriv
    - morphim_pprod
    - sdprodEY
    - morphim_cprod
    - bigdprodWcp
    - pprodmEr
    - sdprodP
    - sdprod_mulgA
    - group0
    - remgrMl
    - pprodg1
    - sdprod_sdpair
    - mem_divgr
    - xsdprodm_dom2
    - injm_xsdprodm
    - dprodmEr
    - cprodWY
    - morphim_pair1g
    - morphim_fstX
    - bigcprod_coprime_dprod
    - sdprodW
    - mulgmP
    - cprodA
    - cprodmEr
    - astabEsd
    - mem_bigdprod
    - pprodW
    - extprod_mulgA
    - sdprod_card
    - dprodWsd
    - pprodmE
    - im_sdpair_TI
    - remgr1
    - cprodmE
    - group_setX
    - morphim_dprodm
    - morphim_coprime_bigdprod
    - pprodEY
    - mulg0
    - morphim_sndX
    - quotient_cprod
    - im_sdprodm2
    - cprodm_actf
    - dprodmE
    - sdprod_isom
    - subcent_sdprod
    - pprodJ
    - cprod1g
    - morphim_pprodml
    - dprodC
    - im_dprodm
    - injm_sdprod
    - im_sdpair_norm
    - mem_remgr
    - cprodm_norm
    - fst_morphM
    - dprodEcp
    - sdprodmEl
    - injm_pprodm
    - sdprod1g
    - morphim_dprodml
    - ker_cprodm
  - path: mathcomp/character/mxrepresentation.v
    theorems:
    - linear_mxsimple
    - eqg_mx_abs_irr
    - Clifford_astab1
    - hom_mxmodule
    - mxsimpleP
    - mx_rsim_abs_irr
    - hom_component_mx
    - rstabs_submod
    - row_gen_sum_mxval
    - Wedderburn_min_ideal
    - gen_mul1r
    - rfix_mx_rstabC
    - mxval_is_multiplicative
    - mxval_gen1
    - map_group_ring
    - map_section_repr
    - rkerP
    - Clifford_is_action
    - val_submodP
    - gring_indexK
    - rstabs_act
    - rstabs_in_gen
    - rker_gen
    - gen_addA
    - morphim_mx_irr
    - mx_iso_refl
    - rker_map
    - submod_mx_repr
    - quo_mx_quotient
    - mxvalM
    - mxmodule_eqg
    - rcent_eqg
    - mx_faithful_irr_center_cyclic
    - hom_mxsemisimple_iso
    - mx_reducibleS
    - annihilator_mxP
    - mxsemisimple_module
    - gring_mxA
    - rsim_regular_factmod
    - rsim_rcons
    - norm_sub_rstabs_rfix_mx
    - gring_free
    - gring_mxJ
    - rstab_norm
    - rstab_act
    - factmod_mx_faithful
    - mx_JordanHolder_max
    - envelop_mx1
    - gring_opM
    - mx_Schur_onto
    - rfix_gen
    - val_submod_inj
    - primitive_root_splitting_abelian
    - rfix_factmod
    - classg_base_center
    - mxsimple_morphim
    - rker_factmod
    - in_factmod_eq0
    - rfix_morphpre
    - Wedderburn_mulmx0
    - mxval_grootXn
    - irr_degree_abelian
    - kquo_mxE
    - rstabs_quo
    - val_submodS
    - in_submod_module
    - irr1_mode
    - mxvalV
    - val_gen_row
    - gen_addC
    - mxsimple_eqg
    - gen_dim_ex_proof
    - quo_repr_coset
    - gring_mxK
    - map_mxminpoly_groot
    - val_genD
    - in_genZ
    - gen_is_additive
    - gring_projE
    - rfix_submod
    - irr_mode_unit
    - reducible_Socle1
    - quo_mx_coset
    - Wedderburn_annihilate
    - conj_mx_irr
    - Clifford_atrans
    - rcent_quo
    - mxvalN
    - val_factmod_inj
    - mxsemisimple0
    - mxrank_in_submod
    - regular_op_inj
    - sG_f'fG
    - classg_base_free
    - add_sub_fact_mod
    - cyclic_mx_module
    - map_regular_subseries
    - rowval_gen_stable
    - val_factmodE
    - mx_butterfly
    - mx_irr_abelian_linear
    - in_genK
    - irr_center_scalar
    - mem_sub_gring
    - mx_JordanHolder
    - center_kquo_cyclic
    - mxsimple_module
    - subg_mx_abs_irr
    - gen_addNr
    - rsim_regular_series
    - rker_subg
    - mxmodule_envelop
    - mxsimple_semisimple
    - rstabs_morphpre
    - component_socle
    - gring_op_id
    - Socle_module
    - mxmodule_conj
    - Wedderburn_sum
    - Clifford_rank_components
    - in_gen_row
    - mx_faithful_irr_abelian_cyclic
    - repr_mxMr
    - rstabs_subg
    - rank_irr1
    - Wedderburn_sum_id
    - rfix_mx_id
    - Clifford_component_basis
    - Socle_direct
    - rker_morphpre
    - component_mx_key
    - rsim_last
    - subg_mx_repr
    - addsmx_module
    - ker_irr_comp_op
    - factmod_mx_repr
    - rstab_eqg
    - irr_degree_gt0
    - mem_gring_mx
    - rstab_morphim
    - gring_op1
    - rker_quo
    - rcent_map
    - gen_mx_irr
    - val_submodE
    - rker_morphim
    - in_submodK
    - map_enveloping_algebra_mx
    - mx_iso_module
    - socle_mem
    - quo_mx_irr
    - sumsmx_module
    - sums_R
    - coset_splitting_field
    - rstab_group_set
    - component_mx_isoP
    - repr_mx1
    - rstabs_conj
    - eqmx_rstabs
    - mx_series_rcons
    - subSocle_direct
    - repr_mxX
    - mxval_inj
    - submod_mx_irr
    - rcenter_group_set
    - mx_rsim_def
    - socle_exists
    - mxsimple_exists
    - eqmx_module
    - in_factmod_module
    - Wedderburn_closed
    - mx_Maschke
    - kquo_mx_faithful
    - gring_rowK
    - irr1_rfix
    - socle_simple
    - mxval1
    - mxmoduleP
    - map_regular_mx
    - Wedderburn_subring_center
    - irr_repr'_op0
    - morphpre_mx_abs_irr
    - val_factmod_eq0
    - mxsimple_abelian_linear
    - extend_group_splitting_field
    - val_gen0
    - mxsimple_cyclic
    - cent_mx_scalar_abs_irr
    - Wedderburn_id_mem
    - mx_rsim_scalar
    - quotient_splitting_field
    - not_rsim_op0
    - capmx_subSocle
    - mxtrace_dadd_mod
    - component_mx_id
    - kermx_centg_module
    - rstabs_factmod
    - val_genK
    - rstab_in_gen
    - sG_f'fG
    - mxval_groot
    - mx_rsim_sym
    - map_rfix_mx
    - mx_faithful_inj
    - val_gen_rV
    - rstab_sub
    - mx_irrP
    - mxsimple_subg
    - irr_modeM
    - splitting_cyclic_primitive_root
    - socleP
    - gen_mulC
    - val_Clifford_act
    - val_factmodP
    - rfix_eqg
    - mx_iso_trans
    - rstabs_rowval_gen
    - Wedderburn_direct
    - mx_irr_map
    - reducible_Socle
    - max_size_mx_series
    - map_mx_faithful
    - degree_irr1
    - sum_mxsimple_direct_sub
    - op_Wedderburn_id
    - Wedderburn_is_id
    - genmx_component
    - val_submod1
    - rstabs_morphim
    - base_free
    - eqmx_semisimple
    - regular_mx_repr
    - in_factmodJ
    - map_gring_op
    - Clifford_componentJ
    - principal_comp_subproof
    - nth_map_rVval
    - irr_comp_rsim
    - Clifford_basis
    - socle_can_subproof
    - in_genD
    - rker_mx_rsim
    - Clifford_rstabs_simple
    - eqg_repr_proof
    - section_eqmx
    - map_mx_repr
    - in_factmodE
    - irr_reprE
    - mx_abs_irrP
    - cyclic_mxP
    - abelian_abs_irr
    - mx_Schreier
    - mxnonsimpleP
    - regular_module_ideal
    - nz_row_mxsimple
    - group_splitting_field_exists
    - Wedderburn_disjoint
    - irr_mx_mult
    - mx_Schur_inj
    - component_mx_semisimple
    - rstab_conj
    - irr_comp_envelop
    - val_factmodS
    - rowval_genK
    - socle_irr
    - capmx_module
    - gring_opG
    - eqg_mx_faithful
    - hom_mxP
    - rcent_subg
    - submx_in_gen
    - rker_normal
    - mxmodule_morphpre
    - mxtrace_Socle
    - repr_mxK
    - max_submod_eqmx
    - mx_rsim_faithful
    - mxtrace_submod1
    - proj_mx_hom
    - gen_dim_gt0
    - sat_gen_form
    - eval_mulT
    - rstab_submod
    - card_gen
    - cycle_repr_structure
    - mx_rsim_iso
    - map_reprE
    - hom_envelop_mxC
    - cyclic_mx_sub
    - kermx_hom_module
    - Clifford_hom
    - map_gring_proj
    - DecSocleType
    - mx_iso_component
    - mxsimple_map
    - eval_gen_term
    - mxmodule_rowval_gen
    - gring_valK
    - cyclic_mx_id
    - eqmx_rstab
    - gring_row_mul
    - Socle_iso
    - in_genN
    - cyclic_mx_eq0
    - in_genJ
    - hom_mxsemisimple
    - envelop_mxP
    - normal_rfix_mx_module
    - subSocle_module
    - mxval0
    - der1_sub_rker
    - mxmodule_form_qf
    - mxsemisimple_reducible
    - subg_mx_faithful
    - Wedderburn_is_ring
    - rker_norm
    - mx_Schur_inj_iso
    - scalar_mx_hom
    - mxrank_iso
    - rconj_mx_repr
    - mxrank_rsim
    - mx_series_repr_irr
    - rfix_mx_conjsg
    - in_factmodsK
    - dec_mx_reducible_semisimple
    - map_regular_repr
    - rfix_subg
    - mx_Schur_iso
    - submx_in_gen_eq
    - gen_mx_repr
    - rfix_mxS
    - rstabs_sub
    - group_closure_closed_field
    - Socle_semisimple
    - rstab_factmod
    - envelop_mx_ring
    - mxval_centg
    - mx_series_lt
    - irr_comp'_op0
    - max_submodP
    - mx_rsim_factmod
    - gen_ntriv
    - mxval_genM
    - memmx_cent_envelop
    - last_mod
    - val_genJ
    - morphim_mx_repr
    - irr_degreeE
    - centgmxP
    - irr_mode1
    - nz_socle
    - eqmx_iso
    - mxvalD
    - base_full
    - component_mx_def
    - rstab_morphpre
    - morphim_mx_abs_irr
    - in_submodE
    - irr_modeX
    - PackSocleK
    - rank_irr_comp
    - rfix_conj
    - map_gring_mx
    - eval_mxmodule
    - mxmodule_map
    - linear_irr_comp
    - mx_Schur
    - mx_JordanHolder_exists
    - eval_mxT
    - rstab_normal
    - val_submod_module
    - mxtrace_rsim
    - envelop_mxM
    - Clifford_astab
    - component_mx_disjoint
    - mxval_genV
    - rconj_mxJ
    - hom_component_mx_iso
    - rsim_submod1
    - Clifford_iso
    - mxtrace_component
    - rstabs_eqg
    - gen_invr0
    - linear_mx_abs_irr
    - mx_reducible_semisimple
    - rker_submod
    - mx_rsim_trans
    - rfix_regular
    - gen_dim_ub_proof
    - proj_factmodS
    - mx_rsim_map
    - gen_dim_factor
    - repr_mx_unitr
    - row_full_dom_hom
    - dec_mxsimple_exists
    - conj_mx_faithful
    - intro_mxsemisimple
    - mxsimple_iso_simple
    - rstabS
    - mxtrace_dsum_mod
    - repr_mx_unit
    - mxmodule_morphim
    - gring_op_mx
    - mx_iso_sym
    - genK
    - mxmodule_subg
    - group_closure_field_exists
    - rfix_mx_module
    - val_submodK
    - section_eqmx_add
    - repr_mx_free
    - map_mx_abs_irr
    - in_factmodK
    - in_submodJ
    - val_genZ
    - rstabs_map
    - subg_mx_irr
    - rstab_subg
    - morphim_mxE
    - repr_mxV
    - rker_eqg
    - mx_subseries_module
    - rcent_conj
    - mxmodule0
    - rker_conj
    - quo_mx_repr
    - component_mx_iso
    - non_linear_gen_reducible
    - Clifford_iso2
    - regular_mx_faithful
    - gring_opE
    - submx_rowval_gen
    - rank_Wedderburn_subring
    - morphpre_mx_repr
    - repr_mxVr
    - rsim_regular_submod
    - val_submodJ
    - mx_abs_irrW
    - gring_mxP
    - Wedderburn_center
    - envelop_mx_id
    - valWact
    - val_genN
    - gen_add0r
    - row_hom_mxP
    - groupCl
    - rsim_irr_comp
    - subSocle_iso
    - dom_hom_mx_module
    - Clifford_Socle1
    - mx_subseries_module'
    - gen_mulVr
    - semisimple_Socle
    - irr_mode_neq0
    - centgmx_map
    - val_factmodK
    - mxtrace_regular
    - rstab_quo
    - irr_comp_id
    - sum_irr_degree
    - centgmx_hom
    - addsmx_semisimple
    - irr1_repr
    - repr_mxKV
    - rcent_group_set
    - mxrank_in_factmod
    - set_nth_map_rVval
    - rfix_quo
    - sumsmx_semisimple
    - mxmodule_trans
    - mx_factmod_sub
    - mx_rsim_irr
  - path: mathcomp/algebra/polydiv.v
    theorems:
    - dvdp_eq_mul
    - ltn_divpr
    - divp_eq
    - divpK
    - size2_dvdp_gdco
    - divpD
    - dvdp_Pexp2l
    - eqp_mull
    - coprimep_dvdr
    - rmodpZ
    - divp_small
    - Gauss_dvdp
    - modp_eq0
    - rdivp_mull
    - divpZr
    - size_gcdp1
    - edivp_def
    - coprimep_XsubC2
    - divp_eq
    - gcdp_mull
    - rgdcop0
    - dvdpP
    - coprimep_modr
    - gcdp_scaler
    - eqp_rgdco_gdco
    - eqp_trans
    - divpp
    - egcdp_recP
    - coprimepMl
    - irredp_neq0
    - rmodp_addl_mul_small
    - redivp_key
    - mulKp
    - dvdp1
    - rdivpDl
    - dvd1p
    - divpP
    - polyXsubCP
    - modp_mull
    - modpZl
    - leq_modp
    - Bezout_eq1_coprimepP
    - Nrdvdp_small
    - dvdp_eq_mul
    - eqp_div
    - leq_gcdpr
    - modNp
    - uniq_roots_rdvdp
    - modpZr
    - take_poly_rmodp
    - rdvdp_XsubCl
    - eqp_coprimepr
    - eqp0
    - eqp_mul2l
    - eqp_exp
    - modp1
    - dvdp_eq_div
    - rdvdpP
    - dvdpZl
    - map_divp
    - divp_modpP
    - leq_divp
    - egcdpE
    - divpKC
    - gcdp_eq0
    - rdivp_eq
    - dvdp_mul
    - gcdpE
    - map_modp
    - dvdp_exp2l
    - mulpK
    - divpKC
    - divpE
    - modp0
    - eqp_modpl
    - coprimep_def
    - dvdp_subr
    - coprimep_comp_poly
    - modpP
    - mulKp
    - eqp_map
    - irredp_XaddC
    - eq_dvdp
    - dvdp_mod
    - mupMr
    - dvdpE
    - mup_XsubCX
    - gdcopP
    - root_dvdp
    - modp_mul
    - dvdp_eq
    - rdvdp_eqP
    - root_bigmul
    - divp_mulCA
    - eqp_rgcd_gcd
    - divpp
    - dvdp_mul2r
    - divpAC
    - dvdp_exp2r
    - eqpxx
    - dvdp_comp_poly
    - mu_prod_XsubC
    - eqp_divl
    - divpK
    - divpE
    - divp_dvd
    - egcdp0
    - XsubC_dvd
    - coprimep_expl
    - mup_ltn
    - divp_addl_mul
    - gcdp_scalel
    - dvdp_addr
    - edivp_def
    - divp_addl_mul_small
    - modp_coprime
    - dvdp_leq
    - dvdp_div_eq0
    - dvdp_eq_div
    - rmod0p
    - dvdp_prod_XsubC
    - dvdp_add_eq
    - rdvdp_leq
    - polyXsubC_eqp1
    - dvdp_eq
    - rgcd0p
    - gcdpp
    - mup_leq
    - eqp_divr
    - rdvdpN0
    - rdvdp_mull
    - rmodpp
    - leq_rmodp
    - gdcop0
    - rdvdpp
    - eqp_size
    - dvdp_exp_XsubCP
    - modpP
    - polyC_eqp1
    - rdivpDr
    - modpZl
    - scalp0
    - mulKp
    - divp_mulA
    - rdivpK
    - edivp_redivp
    - rmodpN
    - coprimep_map
    - dvdp_gcd_idl
    - coprimep_pexpl
    - rdvdp0
    - gdcop_map
    - ltn_rmodpN0
    - divpN
    - dvdp_gdcor
    - eqp_eq
    - egcdpP
    - mulKp
    - modpD
    - rmodp1
    - dvdp_eq
    - divp_pmul2l
    - dvdp_addl
    - eqp_gcd
    - Gauss_gcdpl
    - eqp_mod
    - eqp_monic
    - rmodp_mull
    - ltn_divpl
    - ulc_eqpP
    - divpD
    - dvdpP
    - rdiv0p
    - gcdp_mul2r
    - gcdp_exp
    - rmodp_mulml
    - root_biggcd
    - mulpK
    - redivp_eq
    - redivp_map
    - rdvdp1
    - gcdp0
    - edivp_map
    - divpE
    - rdvdp_eq
    - rgcdp0
    - divp_mulAC
    - eqp_gcdr
    - divp_mulA
    - dvdp_pexp2r
    - divpK
    - edivp_eq
    - rdvd0pP
    - coprime1p
    - prod_XsubC_eq
    - edivpP
    - root_gdco
    - eq_rdvdp
    - dvdp_mulIl
    - gcdp_comp_poly
    - drop_poly_divp
    - drop_poly_rdivp
    - Bezout_coprimepP
    - coprimepZl
    - gcdp_eqp1
    - divp_addl_mul
    - coprimep_sym
    - dvdp_add
    - coprimep_addl_mul
    - irredp_XsubC
    - modpC
    - coprimep_pexpr
    - divp0
    - divp_divl
    - dvdpZr
    - comm_redivpP
    - dvdp_map
    - divp_eq
    - irredp_XsubCP
    - mupM
    - divpP
    - rdivp_eq
    - coprimepPn
    - mupMl
    - div0p
    - modp_addl_mul_small
    - expp_sub
    - dvdp_trans
    - dvdp_gcdr
    - gcdp_modl
    - rmodp_mulmr
    - coprimep_XsubC
    - redivp_def
    - eqp_modpl
    - rmodp_small
    - coprimep_size_gcd
    - modpN
    - coprimep0
    - modp_id
    - coprimep_root
    - eqp_coprimepl
    - edivp_key
    - dvdp_gcdl
    - rmodpp
    - divp1
    - rdivp_small
    - root_factor_theorem
    - scalp_map
    - eqp_div_XsubC
    - dvdp_gcdlr
    - eqpf_eq
    - eqpP
    - rmodpp
    - divp_pmul2l
    - leq_divpr
    - eqp_gdcol
    - coprimepMr
    - coprimep_gdco
    - take_poly_modp
    - gcdp_def
    - gcdp_addl
    - rdivp_addl_mul_small
    - rgcdpE
    - coprimepP
    - divpKC
    - scalpE
    - modp_small
    - rdvd1p
    - gcdp_mul2l
    - divpZr
    - dvdp_gcd
    - mupNroot
    - divp_mulCA
    - Gauss_dvdpr
    - dvdUp
    - divp_pmul2r
    - coprimepX
    - rdivpp
    - eqp_divl
    - eqp_rmod_mod
    - rscalp_small
    - eqp01
    - eqp_dvdr
    - leq_rdivp
    - modpE
    - leq_trunc_divp
    - gtNdvdp
    - rmodp_mull
    - root_factor_theorem
    - rmodpB
    - eqp_mul2r
    - rmodp_eq0
    - divpN
    - coprimep_dvdl
    - divpN0
    - dvdp_mulIr
    - divp_divl
    - leq_divpl
    - gcdp_addr
    - dvdp_exp_sub
    - dvdp_eqp1
    - Bezout_coprimepPn
    - Gauss_gcdpr
    - dvdp_eq
    - scalpE
    - expp_sub
    - dvdp_gcd_idr
    - eqp_modpr
    - root_coprimep
    - gcdpC
    - mulp_gcdl
    - eqpfP
    - modp_XsubC
    - dvdpP
    - eqp_mulr
    - rdivp_addl_mul
    - modpE
    - dvd0p
    - redivp_eq
    - modpZr
    - ltn_modpN0
    - root_gcd
    - mod0p
    - rdivpp
    - eqp_gdcor
    - size_divp
    - dvdp_subl
    - horner_mod
    - rdivp_eq
    - eqp_dvdl
    - divp_mulAC
    - dvdpE
    - modpp
    - rmodpC
    - Bezoutp
    - rdivp0
    - modpE
    - eqp_rdiv_div
    - mulpK
    - mulp_gcdr
    - rcoprimep_coprimep
    - rmodp_compr
    - divp_pmul2r
    - edivpP
    - coprimep1
    - modpD
    - modp_addl_mul_small
    - egcdp_map
    - redivpP
    - dvdp_size_eqp
    - Gauss_dvdpl
    - rmodp0
    - uniq_roots_dvdp
    - coprime0p
    - divpp
    - divp_eq
    - divpZl
    - leq_gcdpl
    - dvdp_mul_XsubC
    - rdivp1
    - mulpK
    - size_poly_eq1
    - rdvdp_mull
    - modp_mulr
    - coprimep_modl
    - dvdpP
    - gcdp1
    - dvdp_mul2l
    - dvd_eqp_divl
    - dvdp_mulr
    - eqp_ltrans
    - eqp_gcdl
    - rdivpK
    - divpZl
    - dvdpNl
    - rmodpD
    - scalpE
    - ltn_modp
    - modpN
    - dvdp_sub
    - modp_mul
    - ucl_eqp_eq
    - coprimep_div_gcd
    - dvdp0
    - divpAC
  - path: mathcomp/solvable/frobenius.v
    theorems:
    - FrobeniusJ
    - partition_class_support
    - Frobenius_subl
    - Frobenius_reg_compl
    - Frobenius_partition
    - semiprimeJ
    - normedTI_memJ_P
    - Frobenius_Ldiv
    - regular_norm_coprime
    - semiregularS
    - Frobenius_ker_dvd_ker1
    - Frobenius_ker_coprime
    - Frobenius_index_coprime
    - semiregular_prime
    - normedTI_S
    - partition_normedTI
    - FrobeniusJcompl
    - Frobenius_context
    - semiregular1r
    - semiregularJ
    - normedTI_J
    - semiprimeS
    - Frobenius_action_kernel_def
    - normedTI_P
    - injm_Frobenius_compl
    - Frobenius_coprime
    - Frobenius_ker_Hall
    - Frobenius_subr
    - Frobenius_trivg_cent
    - FrobeniusJker
    - FrobeniusWker
    - injm_Frobenius_ker
    - Frobenius_kerP
    - cent_semiprime
    - Frobenius_actionP
    - semiregular_sym
    - semiregular1l
    - regular_norm_dvd_pred
    - set_Frobenius_compl
    - Frobenius_index_dvd_ker1
    - ltn_odd_Frobenius_ker
    - semiprime_regular
    - Frobenius_dvd_ker1
    - cent1_normedTI
    - FrobeniusWcompl
    - injm_Frobenius_group
    - Frobenius_reg_ker
    - FrobeniusW
    - cent_semiregular
    - Frobenius_compl_Hall
  - path: mathcomp/algebra/archimedean.v
    theorems:
    - natr_mul_eq1
    - floor1
    - floorX
    - conj_natr
    - intrKfloor
    - sum_truncK
    - floorK
    - natr_sum_eq1
    - intrEfloor
    - trunc0Pn
    - floor_itv
    - trunc0
    - floorP
    - ceilX
    - raddfZ_nat
    - gt_pred_ceil
    - rpredZ_nat
    - floor_le
    - ceil_itv
    - floorD
    - truncX
    - sqr_intr_ge1
    - floorpK
    - norm_intr_ge1
    - truncM
    - Rreal_int
    - ceil_le
    - floor_def
    - int_num_subring
    - rpred_nat_num
    - floor_subproof
    - raddfZ_int
    - ceil_le_int
    - intr_aut
    - truncK
    - intr_ler_sqr
    - intr_nat
    - le_ceil
    - ceilM
    - natr_normK
    - intrP
    - conj_intr
    - ceil0
    - rpredZ_int
    - natr_ge0
    - intrEsign
    - intrKceil
    - natr_exp_even
    - truncD
    - aut_intr
    - trunc_gt0
    - floor0
    - ceilD
    - intr_int
    - floorpP
    - intrEge0
    - rpred_int_num
    - ceilN
    - Rreal_nat
    - ceilK
    - ceil1
    - intrEceil
    - natr_prod_eq1
    - floorM
    - trunc_floor
    - natr_aut
    - ge_floor
    - natr_gt0
    - natrEint
    - intr_normK
  - path: mathcomp/fingroup/perm.v
    theorems:
    - perm_onM
    - porbitPmin
    - permKV
    - porbitV
    - lift_perm_id
    - odd_permV
    - odd_mul_tperm
    - perm1
    - cast_perm_id
    - permS0
    - cast_perm_comp
    - perm_onto
    - prod_tpermP
    - perm_on_id
    - tpermV
    - odd_perm_prod
    - card_porbit_neq0
    - cast_ord_permE
    - cast_permE
    - porbit_sym
    - lift_permV
    - perm_oneP
    - lift_permM
    - tpermC
    - porbit_traject
    - cast_permK
    - perm_on1
    - tpermL
    - perm_proof
    - tpermK
    - perm_onV
    - Sym_group_set
    - odd_permJ
    - tpermR
    - tuple_permP
    - perm_invP
    - im_perm_on
    - permX
    - card_Sn
    - permX_fix
    - tpermD
    - isom_cast_perm
    - eq_porbit_mem
    - card_Sym
    - tperm_on
    - apermE
    - iter_porbit
    - imset_perm1
    - uniq_traject_porbit
    - odd_perm1
    - porbits_mul_tperm
    - cast_perm_sym
    - tperm2
    - porbitsV
    - lift_perm1
    - tpermP
    - tperm1
    - tpermJ
    - permK
    - perm_closed
    - cast_permKV
    - odd_lift_perm
    - im_permV
    - permJ
    - lift_perm_lift
    - cast_perm_morphM
    - pvalE
    - lift_permK
    - card_perm
    - odd_permM
    - perm_inj
    - perm_invK
    - permP
    - permS01
    - tperm_proof
    - permS1
    - mem_porbit
    - permM
    - permE
    - perm_onC
  - path: mathcomp/fingroup/morphism.v
    theorems:
    - morphpreP
    - morphpreV
    - im_sgval
    - injm_morphim_inj
    - morphim_ker
    - injm_sgval
    - morphim_setIpre
    - invm_subker
    - injm_subcent1
    - morphimGK
    - morphimU
    - card_im_injm
    - mkerr
    - morphim_subnorm
    - injm_cent1
    - kerP
    - morphpreI
    - morphim_cent1
    - morphJ
    - morphV
    - domP
    - injm_norms
    - morphim_cents
    - ker_norm
    - mem_morphpre
    - morphim_restrm
    - ker_injm
    - injm_normal
    - card_isog
    - isog_transr
    - eq_in_morphim
    - isog_trans
    - injm_cent
    - invmK
    - injm_comp
    - isom_isog
    - morphpreIim
    - sgval_sub
    - injm_invm
    - morphmE
    - morph_injm_eq1
    - dom_ker
    - morphimSGK
    - morphim_invm
    - morphim_trivm
    - morphpre_set1
    - morphR
    - morphim_eq0
    - isog_subg
    - morphimIG
    - morphim_abelian
    - morphpreSK
    - rcoset_kerP
    - isogEhom
    - injm_subnorm
    - morphpre_cent
    - idm_isom
    - injm_restrm
    - morphpreS
    - nclasses_isog
    - morphpre0
    - invmE
    - morphpre_cent1
    - morphim_subcent
    - trivm_morphM
    - restrmP
    - sub_isom
    - im_restrm
    - morph_dom_groupset
    - ker_rcoset
    - morphim_class
    - injm_abelian
    - morphpreD
    - morphim_cent
    - morphimE
    - morphpre_subcent1
    - morphim_invmE
    - isog_isom
    - morphpreMr
    - morphpre_idm
    - ker_sgval
    - morph1
    - morphim_factm
    - classes_morphim
    - morphimD1
    - injmP
    - eq_morphim
    - ker_sub_pre
    - ker_ifactm
    - morphim_inj
    - misomP
    - order_injm
    - morphim1
    - isom_sub_im
    - injm_subg
    - morphimDG
    - mkerl
    - restr_isom_to
    - homgP
    - morphpre_cent1s
    - morphim_norms
    - leq_morphim
    - morphim_injG
    - morphim_set1
    - homg_trans
    - morphim_cycle
    - morphpre_ifactm
    - isog_eq1
    - morphim_isom
    - morphim_injm_eq1
    - comp_morphM
    - subgmK
    - im_invm
    - morphpre_normal
    - morphimSK
    - morphimIim
    - restr_isom
    - sub_morphpre_injm
    - injm_eq
    - ker_subg
    - injm_factm
    - morphimI
    - morphpre_inj
    - morphimMl
    - morphim_cent1s
    - injm_cents
    - morphpre_subnorm
    - morphim_subcent1
    - morphpreMl
    - injmD1
    - isogP
    - ker_factm_loc
    - injm_idm
    - morph_prod
    - morphimT
    - morphpre_factm
    - isom_subg
    - morphM
    - morphimD
    - morphim_sub
    - im_subg
    - ker_restrm
    - injmK
    - morphpre_restrm
    - morphim_idm
    - ker_comp
    - morphimIdom
    - morphimJ
    - morphpre_proper
    - morphimV
    - isomP
    - isog_transl
    - morphpreIdom
    - isom_card
    - morphimY
    - idm_morphM
    - im_idm
    - morphim_norm
    - morphX
    - ker_idm
    - morphimP
    - isog_abelian
    - isom_im
    - morphim_subnormG
    - injm_proper
    - injm_norm
    - morphpre_groupset
    - homg_refl
    - injmI
    - morphpre_invm
    - injm1
    - morphpre_cents
    - sub_isog
    - morphim_normG
    - restrmEsub
    - mem_morphim
    - morphpre_norm
    - card_injm
    - isog_hom
    - isog_refl
    - eq_homgr
    - isom_inj
    - injm_factmP
    - mker
    - ifactmE
    - morphim_homg
    - im_ifactm
    - ker_normal_pre
    - morphpreU
    - isom_sym
    - morphim_gen
    - morphim_ifactm
    - morphimR
    - leq_homg
    - morphimS
    - morphpreJ
    - morphimEsub
    - ker_invm
    - injm_subcent
    - morphimMr
    - ker_factm
    - sub_morphim_pre
    - isom_sgval
    - morphim_groupset
    - morphpre_norms
    - morphpreE
    - morphpre_comp
    - nclasses_injm
    - morphim_comp
    - factm_morphM
    - injmSK
    - ltn_morphim
    - ker_normal
  - path: mathcomp/fingroup/quotient.v
    theorems:
    - coset_idr
    - quotient_norm
    - morphpre_qisom
    - card_homg
    - injm_qisom
    - sub_cosetpre_quo
    - homg_quotientS
    - quotient_class
    - index_injm
    - cosetpre_cent1
    - weak_second_isog
    - im_qisom_proof
    - quotient_cents
    - quotient0
    - quotientGI
    - quotient_inj
    - quotientE
    - dvdn_morphim
    - quotientMidr
    - kercoset_rcoset
    - norm_quotient_pre
    - im_qisom
    - coset_default
    - morphim_qisom_inj
    - quotient_abelian
    - quotientS
    - coprime_morph
    - ltn_quotient
    - qisom_inj
    - quotientMr
    - card_quotient_subnorm
    - second_isog
    - inv_quotientN
    - index_quotient_eq
    - cosetpre_cent
    - cosetpreK
    - coset_kerl
    - divg_normal
    - quotient_proper
    - third_isog
    - quotient1_isom
    - quotientMl
    - quotientU
    - quotient_gen
    - coset_norm
    - sub_quotient_pre
    - third_isom
    - val_coset
    - quotientJ
    - qisom_isog
    - coprime_morphl
    - index_morphim
    - qisom_isom
    - cosetpre_proper
    - cosetpre_cent1s
    - coset_mem
    - quotient1
    - qisom_ker_proof
    - cosetpre_set1
    - logn_morphim
    - quotient_subcent
    - cosetP
    - im_coset
    - trivg_quotient
    - quotient_isog
    - quotientSK
    - cosetpre_subcent
    - quotient_norms
    - coset_mulP
    - card_cosetpre
    - quotmE
    - coset_one_proof
    - mem_repr_coset
    - quotient_sub1
    - quotientS1
    - qisomE
    - coset1
    - first_isom
    - coset_range_mul
    - coset_reprK
    - quotientD1
    - quotient_subnormG
    - first_isog
    - quotient_subnorm
    - cosetpre_normal
    - quotientGK
    - first_isog_loc
    - imset_coset
    - quotient_cent1s
    - cosetpre_set1_coset
    - qisom_restr_proof
    - morphim_qisom
    - quotientR
    - sub_im_coset
    - quotientV
    - cosetpreM
    - quotientInorm
    - coset1_injm
    - coset_kerr
    - val_coset_prim
    - quotm_dom_proof
    - quotientSGK
    - quotientY
    - normal_cosetpre
    - ker_coset
    - inv_quotientS
    - card_morphpre
    - coset_invP
    - quotientIG
    - cosetpre_subcent1
    - dvdn_quotient
    - coset_oneP
    - coset_morphM
    - index_morphpre
    - ker_quotm
    - repr_coset_norm
    - coset_id
    - coprime_morphr
    - quotient_isom
    - quotientD
    - coset_range_inv
    - index_quotient_ker
    - quotientK
    - restrm_quotientE
    - quotient_homg
    - morphim_quotm
    - im_quotient
    - card_quotient
    - quotientT
    - val_quotient
    - index_cosetpre
    - repr_coset1
    - cosetpreSK
    - quotientYidr
    - index_quotient
    - mem_quotient
    - card_morphim
    - quotient_injG
    - quotient_cent1
    - quotient_set1
    - leq_quotient
    - first_isom_loc
    - injm_quotm
    - sub_cosetpre
    - cosetpre_gen
    - quotientI
    - quotm_ker_proof
    - quotient_setIpre
    - quotient_subcent1
    - quotientDG
    - quotient1_isog
    - quotientYidl
    - quotient_cent
    - classes_quotient
    - cosetpre_cents
    - ker_coset_prim
    - quotient_normG
    - val_qisom
    - char_from_quotient
    - quotientYK
    - quotientMidl
    - quotient_neq1
    - second_isom
  - path: mathcomp/ssreflect/fintype.v
    theorems:
    - existsb
    - negb_exists_in
    - proper_card
    - enumP
    - ordS_subproof
    - predX_prod_enum
    - exists_inPn
    - mem_sub_enum
    - exists_eq_inP
    - eq_rlshift
    - eq_card_trans
    - lift_max
    - bij_on_image
    - disjointU
    - card2
    - proper_subn
    - subxx_hint
    - eqfun_inP
    - flatten_imageP
    - cardC
    - f_iinv
    - ord_pred_bij
    - card_sig
    - bumpS
    - tag_enumP
    - in_iinv_f
    - eq_lrshift
    - ltn_ord
    - subxx
    - enum_val_nth
    - subset_leq_card
    - rev_ord_proof
    - subset_cons
    - card0
    - ord_pred_subproof
    - unit_enumP
    - size_enum_ord
    - fin_all_exists2
    - image_injP
    - enum_default
    - card_option
    - sub_enum_uniq
    - mem_ord_enum
    - eq_disjoint
    - negb_forall
    - exists_inP
    - card_gt0P
    - forallPP
    - disjoint_cat
    - card_prod
    - inordK
    - dinjectiveP
    - seq_sub_axiom
    - unlift_subproof
    - enum_rankK_in
    - enum_rank_ord
    - leq_ord
    - eq_existsb
    - cast_ord_inj
    - enum_uniq
    - f_invF
    - void_enumP
    - codomP
    - eq_disjoint_r
    - card_image
    - splitK
    - invF_f
    - subset_catl
    - card_uniqP
    - codom_val
    - eq_disjoint1
    - disjoint0
    - disjoint_has
    - eq_card
    - sum_enum_uniq
    - bumpK
    - size_codom
    - eq_card
    - lift_subproof
    - max_card
    - card_ord
    - card_seq_sub
    - enum_ordSr
    - leq_bump
    - codom_f
    - rshift_subproof
    - subset_pred1
    - card_gt2P
    - pred0P
    - subset_all
    - eq_lshift
    - card_void
    - card1
    - cardX
    - eq_forallb_in
    - ord_predK
    - fin_all_exists
    - size_image
    - seq_subE
    - subset_cons2
    - image_f
    - ord_enum_uniq
    - enum_val_bij
    - iinv_f
    - canF_invF
    - bij_on_codom
    - image_iinv
    - canF_RL
    - subset_eqP
    - cast_ord_proof
    - card_size
    - injectivePn
    - cardD1
    - cardT
    - pred0Pn
    - proper_trans
    - preim_iinv
    - eq_card0
    - enum_val_bij_in
    - extremumP
    - uniq_enumP
    - count_enumP
    - rshift_inj
    - lift_eqF
    - eq_invF
    - subsetP
    - lift0
    - mem_image
    - mem_iinv
    - ordSK
    - eq_pick
    - imageP
    - forallPn
    - lshift_inj
    - pcan_enumP
    - disjointU1
    - filter_subset
    - leq_card_in
    - forallP
    - enum1
    - pre_image
    - prod_enumP
    - eq_disjoint0
    - disjointWr
    - leq_image_card
    - seq_sub_pickleK
    - nth_codom
    - enum_ord0
    - eq_subset_r
    - val_ord_enum
    - arg_minnP
    - fin_pickleK
    - eq_enum_rank_in
    - eq_rshift
    - nth_enum_rank_in
    - bumpDl
    - existsP
    - exists_inb
    - lift_inj
    - unlift_some
    - eq_card1
    - cardU1
    - nth_ord_enum
    - sub_ordK
    - mem_seq_sub_enum
    - option_enumP
    - splitP
    - disjointW
    - subset_leqif_card
    - disjoint_sym
    - cast_ordK
    - properE
    - unbumpS
    - card_le1P
    - fintype1P
    - nth_enum_rank
    - fintype0
    - sub_ord_proof
    - enum_val_inj
    - eq_codom
    - mask_enum_ord
    - card_sum
    - card_le1_eqP
    - unlift_none
    - enum_ordSl
    - val_sub_enum
    - unbumpDl
    - card_sub
    - ord_pred_inj
    - enum0
    - widen_ord_proof
    - map_preim
    - rev_ordK
    - enum_rank_subproof
    - unbumpKcond
    - liftK
    - enum_valK_in
    - inord_val
    - seq_sub_default
    - mem_sum_enum
    - ord_inj
    - ordS_bij
    - sub_proper_trans
    - canF_LR
    - rev_ord_inj
    - card_gt1P
    - card_codom
    - subset_trans
    - eq_existsb_in
    - inj_leq
    - card_preim
    - enum_rank_bij
    - subsetE
    - bij_eq_card
    - nth_image
    - index_enum_ord
    - subset_cardP
    - inj_card_bij
    - codomE
    - properP
    - enum_rankK
    - inj_card_onto
    - card1P
    - properxx
    - image_codom
    - eq_card_sub
    - card_tagged
    - eq_enum
    - existsPP
    - enumT
    - enum_rank_inj
    - card0_eq
    - image_pred0
    - disjointFl
    - eq_card_prod
    - canF_sym
    - dinjectivePn
    - leq_card
    - eq_subset
    - card_in_image
    - eq_cardT
    - forall_inPP
    - disjoint_cons
    - subset_predT
    - eq_image
    - eqfunP
    - unliftP
    - card_unit
    - mem_enum
    - proper_sub_trans
    - disjoint_subset
    - subset_disjoint
    - eq_subxx
    - injF_bij
    - cardE
    - negb_forall_in
    - subsetPn
    - cast_ord_id
    - split_ordP
    - cast_ordKV
    - neq_bump
    - bool_enumP
    - mem_card1
    - existsPn
    - val_enum_ord
    - cardC1
    - unbumpK
    - injectiveP
    - subset_filter
    - iinv_proof
    - disjointFr
    - map_subset
    - leq_bump2
    - ord1
    - subset_cat2
    - enum_valK
    - enum_val_ord
    - enum_valP
    - disjoint1
  - path: mathcomp/ssreflect/bigop.v
    theorems:
    - sub_le_big_seq_cond
    - pair_big_idem
    - big_enum_val_cond
    - leq_bigmax_seq
    - big_ord_narrow_cond
    - big_distrl
    - big_enum_cond
    - big_split_ord
    - big_has
    - big_ord1_cond
    - some_big_AC_mk_monoid
    - sum1_count
    - big_geq_mkord
    - big_ord_narrow
    - big_mkcondl_idem
    - addmC
    - exchange_big_dep
    - big_allpairs_idem
    - big_nat_rev
    - exchange_big_dep_nat
    - sum_nat_seq_eq1
    - big_mkcondr
    - big_allpairs_dep
    - mulmAC
    - big_nat_widenl
    - oopC_subdef
    - le_big_nat_cond
    - deprecated_filter_index_enum
    - big_ord_recr
    - big_cat_idem
    - big_nat1_cond_eq
    - big_nat_mul
    - mulmCA
    - partition_big
    - bigmax_eq_arg
    - sum1_card
    - exchange_big_nat_idem
    - big_ltn
    - mulm1
    - idem_sub_le_big_cond
    - mem_index_iota
    - big_image_cond
    - sum_nat_eq0
    - big_ord_narrow_leq
    - prodn_gt0
    - bigA_distr_big_dep
    - big_mask_tuple
    - big_add1
    - big_mkord
    - eq_big_op
    - oop1x_subdef
    - big_rmcond_in_idem
    - big_enum_rank
    - eq_big_idx_seq
    - mulmACA
    - mem_index_enum
    - prod_nat_const_nat
    - big_rem_AC
    - big_rmcond_idem
    - eq_bigmax_cond
    - bigID_idem
    - le_big_nat
    - prod_nat_seq_eq1
    - big_map
    - foldl_idx
    - oopA_subdef
    - perm_big_supp_cond
    - big_rcons_op
    - eq_big_nat
    - big_geq
    - bigD1
    - bigmax_sup
    - sub_le_big
    - big_bool
    - uniq_sub_le_big
    - oACE
    - big_condT
    - big_rec
    - oopx1_subdef
    - idem_sub_le_big
    - big_nat_cond
    - big_allpairs
    - big_andE
    - uniq_sub_le_big_cond
    - leq_sum
    - eq_big_idx
    - card_bseq
    - sig_big_dep
    - big_id_idem_AC
    - congr_big_nat
    - big_seq_cond
    - big_nth
    - big_split
    - mul1m
    - big_change_idx
    - iteropE
    - telescope_sumn_in
    - bigmax_leqP
    - mulC_dist
    - big_undup
    - big_mkcond
    - big_mask
    - big1_idem
    - big_rec3
    - pair_bigA_idem
    - perm_big
    - big_andbC
    - big_distr_big_dep
    - big1
    - big_AC_mk_monoid
    - subset_le_big
    - prodn_cond_gt0
    - index_enum_uniq
    - leq_prod
    - big_cat_nested
    - big_image
    - opCA
    - big_load
    - sub_in_le_big
    - prod_nat_const
    - big_allpairs_dep_idem
    - reindex
    - mul0m
    - big_ind3
    - big_pred0_eq
    - big_rmcond
    - big_enumP
    - expn_sum
    - pair_big_dep
    - big_pred1_eq_id
    - big_cat_nat_idem
    - big_enum_val
    - exchange_big_idem
    - telescope_big
    - sum_nat_eq1
    - exchange_big_nat
    - pair_big
    - big_undup_iterop_count
    - sum_nat_const
    - exchange_big
    - big_flatten
    - big_const_nat
    - big_cat_nat
    - biglcmn_sup
    - big_distr_big
    - big_pred1_id
    - big_ind2
    - big_hasC
    - big_map_id
    - big_catl
    - biggcdn_inf
    - reindex_onto
    - foldrE
    - bigU
    - big_distrlr
    - mulC_zero
    - sum1_size
    - mulmDr
    - big_const_idem
    - big_ind
    - prod_nat_seq_neq1
    - sub_le_big_seq
    - big_has_cond
    - big_filter
    - big_ord0
    - prod_nat_seq_eq0
    - eq_big_seq
    - big_rev_mkord
    - bigmax_leqP_seq
    - mulmDl
    - big_endo
    - big_const_ord
    - big_nat1
    - congr_big
    - big1_eq
    - dvdn_biglcmP
    - bigD1_seq
    - big_const
    - exchange_big_dep_idem
    - mulC_id
    - mulmA
    - sumnE
    - big_catr
    - sum_nat_seq_eq0
    - big_rmcond_in
    - big_id_idem
    - leqif_sum
    - pair_big_dep_idem
    - big_enum
    - perm_big_supp
    - leq_bigmax_cond
    - big_cons
    - bigA_distr_big
    - big_ord_recl
    - foldlE
    - reindex_inj
    - big_seq1
    - leq_bigmax
    - big_mkcondl
    - big1_seq
    - big_mkcondr_idem
    - big_filter_cond
    - mulm0
    - prod_nat_seq_neq0
    - sum_nat_const_nat
    - eq_bigl_supp
    - sum_nat_seq_neq0
    - bigID
    - big_rem
    - sumnB
    - big_ord_widen_cond
    - big_ord1
    - big_seq
    - addmAC
    - big_nat_recr
    - big_pred1
    - big_addn
    - big_morph
    - big_index_uniq
    - big_pred0
    - big_ltn_cond
    - bigU_idem
    - telescope_sumn
    - big_ord_widen_leq
    - big_pmap
    - big_pred1_eq
    - big_if
    - index_enum_key
    - bigmax_sup_seq
    - big_only1
    - mulmC
    - big_nil
    - addmCA
    - big_nat_widen
    - eq_bigr
    - add0m
    - pair_bigA
    - big_nat1_id
    - big_seq1_id
    - big_split_idem
    - big_nseq
    - le_big_ord
    - big_all
    - big_const_seq
    - big_mkcond_idem
    - partition_big_idem
    - bigD1_ord
    - big_ord_widen
    - cardD1x
    - exchange_big_dep_nat_idem
  - path: mathcomp/algebra/rat.v
    theorems:
    - normr_num_div
    - rat_linear
    - denq_mulr_sign
    - Qint_def
    - mulVq
    - le_rat0
    - fracq_eq
    - sgr_denq
    - frac0q
    - oppq_frac
    - fracq_opt_subdefE
    - lerq0
    - invq_frac
    - mulqC
    - mulq_def
    - ler_rat
    - ler0q
    - coprimeq_den
    - mulqA
    - divqP
    - sgr_scalq
    - sgr_numq_div
    - norm_ratN
    - numqN
    - ratzE
    - coprime_num_den
    - rat0
    - rat_eq
    - sgr_numq
    - minr_rat
    - le_rat0M
    - rat_vm_compute
    - addq_subdefC
    - mulq_addl
    - fracqE
    - denq_gt0
    - ratzM
    - gt_rat0
    - absz_denq
    - add0q
    - rat_eqE
    - is_natE
    - lt_ratE
    - addq_def
    - invq0
    - numq_sign_mul
    - Qnat_def
    - addq_frac
    - truncP
    - numqK
    - valq_frac
    - numq_lt0
    - ratr_is_additive
    - ratr_norm
    - rpred_rat
    - signr_scalq
    - mulq_subdefE
    - fracq_eq0
    - denqVz
    - nonzero1q
    - ratzN
    - intq_eq0
    - divq_num_den
    - rat1
    - ratz_frac
    - floor_rat
    - fmorph_eq_rat
    - numq_div_lt0
    - RatK
    - le_ratE
    - QnatP
    - ltr_rat
    - fracq_subproof
    - fracqMM
    - ltr0q
    - denqN
    - invq_def
    - den_fracq
    - numq_int
    - numq_ge0
    - valqK
    - fracqP
    - ge_rat0_norm
    - coprimeq_num
    - denq_norm
    - ratr_int
    - le_rat0_anti
    - scalq_def
    - normr_denq
    - denq_lt0
    - is_intE
    - addNq
    - addqA
    - le_rat_total
    - denq_eq0
    - numq_eq0
    - ratr_sg
    - maxr_rat
    - ratr_nat
    - subq_ge0
    - mulq_frac
    - oppq_def
    - ratzD
    - addq_subdefA
    - mulq_subdefC
    - ratr_is_multiplicative
    - addq_subdefE
    - scalq_eq0
    - ge_rat0
    - lt_rat_def
    - numq_gt0
    - fmorph_rat
    - val_fracq
    - rat_ring_theory
    - denq_int
    - num_fracq
    - fracq_opt_subdef_id
    - le_rat0D
    - denq_neq0
    - lt_rat0
    - ratP
    - ceil_rat
    - numqE
    - denqP
  - path: mathcomp/solvable/alt.v
    theorems:
    - Alt_index
    - rfd_odd
    - trivial_Alt_2
    - rgdP
    - not_simple_Alt_4
    - Alt_subset
    - simple_Alt5_base
    - Sym_trans
    - Alt_trans
    - Alt_normal
    - Alt_norm
    - Alt_even
    - rfd_funP
    - rfd_iso
    - card_Sym
    - aperm_faithful
    - rfdP
  - path: mathcomp/solvable/cyclic.v
    theorems:
    - morph_generator
    - orderXpnat
    - has_prim_root_subproof
    - quotient_cyclic
    - cyclicY
    - morphim_cyclic
    - order_inj_cyclic
    - Zp_unit_isom
    - cyclicP
    - expg_cardG
    - order_inf
    - cyclic_dprod
    - field_mul_group_cyclic
    - Aut_prime_cyclic
    - im_cyclem
    - cyclic1
    - Zp_unitmM
    - eltmM
    - card_Aut_cycle
    - totient_gen
    - cycle_generator
    - order_dvdG
    - isog_cyclic
    - orderXexp
    - eltmE
    - cycleMsub
    - div_ring_mul_group_cyclic
    - sub_cyclic_char
    - eq_subG_cyclic
    - morph_order
    - Aut_cyclic_abelian
    - im_Zp_unitm
    - cardSg_cyclic
    - cyclemM
    - Zp_unit_isog
    - injm_generator
    - im_Zpm
    - cycle_cyclic
    - cyclicJ
    - ZpmM
    - metacyclicP
    - Euler_exp_totient
    - generator_cycle
    - Aut_prime_cycle_cyclic
    - generator_coprime
    - cyclic_abelian
    - expgK
    - Aut_cycle_abelian
    - isog_cyclic_card
    - metacyclic1
    - Zp_isom
    - injm_cyclem
    - cycleM
    - orderXgcd
    - cyclicS
    - nt_prime_order
    - sum_totient_dvd
    - cyclic_metacyclic
    - Zp_isog
    - field_unit_group_cyclic
    - quotient_cycle
    - expg_znat
    - orderXdvd
    - cyclic_small
    - expg_zneg
    - im_eltm
    - cycle_sub_group
    - orderXpfactor
    - nt_gen_prime
    - eltm_id
    - has_prim_root
    - orderM
    - injm_Zpm
    - eq_expg_mod_order
    - cyclicM
    - units_Zp_cyclic
    - injm_eltm
    - order_dvdn
    - dvdn_prime_cyclic
    - metacyclicS
    - card_Aut_cyclic
    - generator_order
    - orderXprime
    - injm_cyclic
    - cycle_subgroup_char
    - sum_ncycle_totient
  - path: mathcomp/field/algC.v
    theorems:
    - Cint_Cnat
    - conjL_nt
    - Cnat_sum_eq1
    - minCpoly_subproof
    - Crat_divring_closed
    - eqCmod_refl
    - mulA
    - sqrtK
    - floorCK
    - conj_is_semi_additive
    - natCK
    - floorC0
    - norm_Cint_ge1
    - norm_eq0
    - minCpoly_eq0
    - truncCX
    - CratP
    - dvdC_zmod
    - Creal1
    - algC_invautK
    - getCratK
    - eqCmod_nat
    - Cint_int
    - minCpoly_aut
    - addA
    - LtoC_K
    - dvdC0
    - sposD
    - algCreal_Im
    - eqCmodDr
    - dvdC_trans
    - truncCK
    - eqCmod0_nat
    - rpred_Crat
    - Creal_Crat
    - conjK
    - Crat1
    - nz2
    - truncC_def
    - Cnat_gt0
    - posJ
    - Cnat_norm_Cint
    - floorCM
    - conj_Cnat
    - floorCD
    - truncC1
    - dvdCP_nat
    - eq_root_is_equiv
    - aut_Cnat
    - truncCD
    - dvdC_mul2l
    - mulC
    - Creal0
    - rpredZ_Cint
    - raddfZ_Cint
    - eqCmod_transl
    - add0
    - normM
    - sposDl
    - eqCmod_transr
    - truncC0Pn
    - zCdivE
    - dvdC_mulr
    - CnatEint
    - Crat_aut
    - eqCmodN
    - Creal_Cnat
    - posE
    - Cnat_nat
    - minCpoly_monic
    - addN
    - algC_autK
    - Cint_rat
    - eqCmodMl0
    - leB
    - intCK
    - eqCmodDl
    - truncC_gt0
    - CintP
    - normD
    - mul2I
    - algCi_subproof
    - conj_is_additive
    - Cnat_aut
    - dvdC_mul2r
    - eqCmod0
    - algCrect
    - floorCX
    - pos_linear
    - Cnat0
    - eqCmodm0
    - iJ
    - algCreal_Re
    - CtoL_inj
    - CnatP
    - CtoL_K
    - eqCmodMr0
    - Cnat_mul_eq1
    - Cint_normK
    - conj_is_multiplicative
    - size_minCpoly
    - conj_Crat
    - dvdCP
    - Cint0
    - Crat_rat
    - CintE
    - ratCK
    - conj_Cint
    - dvdC_refl
    - normN
    - addC
    - Cint_aut
    - Cint_ler_sqr
    - eqCmodM
    - algC_invaut_subproof
    - archimedean
    - nz2
    - getCrat_subproof
    - rpredZ_Cnat
    - dvd0C
    - mulD
    - raddfZ_Cnat
    - dvdC_mull
    - Cnat_exp_even
    - norm_Cnat
    - dvdC_int
    - rpred_Cnat
    - sqrMi
    - algC_invaut_is_additive
    - minCpolyP
    - algebraic
    - normE
    - conj_subproof
    - root_minCpoly
    - eqCmod_sym
    - nCdivE
    - CintEsign
    - normK
    - CtoL_P
    - truncC_itv
    - one_nz
    - floorC_def
    - floorCN
    - LtoC_subproof
    - sqr_Cint_ge1
    - inv0
    - CtoL_is_additive
    - closedFieldAxiom
    - Cnat1
    - Cnat_ge0
    - dvdC_nat
    - floorC1
    - Creal_Cint
    - floorCpP
    - conj_nt
    - sqrtE
    - Crat0
  - path: mathcomp/ssreflect/generic_quotient.v
    theorems:
    - left_trans
    - encModRelP
    - pi_DC
    - pi_morph1
    - pi_mono2
    - equal_toE
    - mpiE
    - reprP
    - quotW
    - encoded_equivP
    - eqquotE
    - equiv_refl
    - sortPx
    - reprK
    - pi_morph11
    - eq_op_trans
    - eqmodP
    - equiv_sym
    - ereprK
    - eqmodP
    - eq_lock
    - equivQTP
    - equiv_rtrans
    - encModEquivP
    - equiv_ltrans
    - canon_id
    - piP
    - repr_ofK
    - pi_CD
    - encoded_equivE
    - quotP
    - encModRelE
    - sort_Sub
    - eqmodE
    - equiv_trans
    - encoded_equiv_is_equiv
    - eqmodE
    - eqquotP
    - qreprK
  - path: mathcomp/solvable/extraspecial.v
    theorems:
    - gtype_key
    - exponent_pX1p2n
    - card_pX1p2n
    - DnQ_extraspecial
    - isog_pX1p2
    - isog_2extraspecial
    - rank_DnQ
    - exponent_pX1p2
    - card_pX1p2
    - pX1p2S
    - card_DnQ
    - DnQ_pgroup
    - isog_pX1p2n
    - rank_Dn
    - DnQ_P
    - Q8_extraspecial
    - gactP
    - Grp_pX1p2
    - pX1p2n_extraspecial
    - actP
    - isog_2X1p2
    - not_isog_Dn_DnQ
    - pX1p2_extraspecial
    - Ohm1_extraspecial_odd
    - pX1p2id
    - pX1p2n_pgroup
  - path: mathcomp/algebra/ssrnum.v
    theorems:
    - gtr_pMr
    - ler_nat
    - ger_pMl
    - lteifNl
    - lteifNr0
    - lerDl
    - deg_le2_poly_ge0
    - minr_nMr
    - rootC_gt0
    - normC_sum_eq1
    - lerN10
    - ltr_wpMn2r
    - ler_ndivrMr
    - nmulr_llt0
    - trunc_itv
    - degpN
    - nmulr_lge0
    - deg2_poly_minE
    - lteifN2
    - real_lerNnormlW
    - sqa2
    - oppr_min
    - ler_distlBl
    - real_normrEsign
    - normr0
    - ler_prod
    - natf_div
    - normrV
    - ler0_norm
    - lteif_nM2l
    - invCi
    - ImMr
    - le00
    - mulr_sign_norm
    - rootC_ge0
    - ltr0_ge_norm
    - invf_nlt
    - gtr0_sg
    - nat_num1
    - mulrn_wge0
    - rootCK
    - oppr_lt0
    - pnatr_eq1
    - ltr_nat
    - ImM
    - ler_distlDr
    - ltrDl
    - le0_add
    - ltr_pMn2r
    - natrK
    - conj_Creal
    - eqrXn2
    - exprn_odd_le0
    - agt0
    - deg2_poly_factor
    - deltam
    - lteif_pM2l
    - normC2_rect
    - sqrtC0
    - real_arg_minP
    - r1N
    - ler_normr
    - ltr_prod
    - deg2_poly_noroot
    - lerD2r
    - maxr_pMl
    - normrMsign
    - deg2_poly_ge0
    - real_ler_distlCDr
    - ler_iXn2l
    - normr_real
    - ltrD2l
    - normr_unit
    - real_exprn_even_lt0
    - ltr_pDr
    - subr_ge0
    - conjC_ge0
    - nneg_divr_closed
    - ler_wpMn2l
    - ler_pM2r
    - ler0_ge_norm
    - deg2_poly_root1
    - deg_le2_poly_delta_le0
    - posrE
    - leif_mean_square_scaled
    - trunc_subproof
    - Im_div
    - sqrtrV
    - deg2_poly_gt0l
    - ltr_distlCDr
    - big_real
    - subr_gt0
    - real_mono
    - ltr1n
    - normrN1
    - real_nmono
    - ger0_real
    - ler10
    - poly_ivt
    - eqr_pMn2r
    - lef_nV2
    - ger1_real
    - mul_conjC_ge0
    - Nreal_ltF
    - subr_lteifr0
    - eqr_norm2
    - lerD
    - real_ler_distlCBl
    - subC_rect
    - ler_wnMn2l
    - ImE
    - exprn_even_gt0
    - real_ler_normlW
    - leif_Re_Creal
    - ltr0Sn
    - invr_gt1
    - ltr0_sqrtr
    - lteif_ndivlMr
    - real_ltgtP
    - imaginaryCE
    - ltr_distl
    - eqr_nat
    - mulr_ege1
    - pmulr_lgt0
    - real_maxNr
    - real_nmono_in
    - ler0_sqrtr
    - lerBlDl
    - pmulrn_rgt0
    - leif_AGM_scaled
    - real_leif_norm
    - conjC_rect
    - lteif_norml
    - ltr01
    - deg2_poly_le0
    - le0N
    - subr_lt0
    - geC0_conj
    - ler1n
    - sgr_gt0
    - sqrtC_inj
    - lerMn2r
    - rootC_subproof
    - aa4gt0
    - normrEsg
    - a4gt0
    - normr_le0
    - pmulrn_lle0
    - real_oppr_max
    - deg2_poly_lt0m
    - rootC_gt1
    - intrE
    - ImV
    - sqrtC1
    - conjC1
    - ler_rootC
    - leifBRL
    - ltr_nnorml
    - aneq0
    - le_total
    - ler_normlP
    - eqC_semipolar
    - ler_leVge
    - ler_wnM2l
    - exprn_even_lt0
    - ltf_nV2
    - ltr0n
    - ler_pMn2r
    - prod_real
    - ltr_nDl
    - mulr_gt0
    - real0
    - ltr_eXnr
    - nat_num0
    - deg2_poly_lt0r
    - gtr_nMr
    - aneq0
    - deg2_poly_le0r
    - poly_itv_bound
    - invf_ngt
    - lteif_ndivrMl
    - lerD2l
    - real_mono_in
    - minr_to_max
    - real_lteif_norml
    - normM
    - normr1
    - rootCMr
    - real_ltr_distlDr
    - sqrtr_gt0
    - conjCN1
    - Creal_Im
    - gtrBl
    - gtr0_le_norm
    - pmulr_rlt0
    - oppr_ge0
    - normM
    - nz2
    - lt0_cp
    - sqrtC_eq0
    - realNEsign
    - nposrE
    - deg2_poly_max
    - a4gt0
    - lerNnormlW
    - nmulr_rge0
    - ler_sqr
    - b2a
    - pexpIrn
    - ler_pMl
    - deg2_poly_root1
    - ler_ltB
    - ler_nMr
    - minrN
    - real_ltgt0P
    - ltr_prod_nat
    - lteif_pdivrMr
    - le_total
    - ltrN10
    - ler_pMr
    - ler_peMr
    - int_num1
    - exprn_gt0
    - ltrBrDl
    - leif_sum
    - sqr_sqrtr
    - sgr_norm
    - lerBrDl
    - normr_nneg
    - deltaN
    - mulrIn
    - sgr0
    - normr0P
    - mulr_Nsign_norm
    - realN
    - ler_wnDl
    - deg2_poly_ge0r
    - deg2_poly_gt0r
    - lteif01
    - mulr_sg_eqN1
    - conjC0
    - pmulr_rle0
    - exprn_even_ge0
    - invf_gt1
    - real_leP
    - eq0_norm
    - maxNr
    - ImMl
    - rootC0
    - gt_ge
    - normr_prod
    - minr_nMl
    - real_leif_mean_square
    - natrG_neq0
    - ltrB
    - Crect
    - prodr_gt0
    - invf_le1
    - lteifBrDr
    - deltam
    - sgrP
    - addr_max_min
    - degpN
    - eqr_normN
    - rootC_lt0
    - deg2_poly_root2
    - ler_neMr
    - lt_le
    - ler_nMn2l
    - sgrV
    - ler_nV2
    - root1C
    - nz2
    - neq0Ci
    - mulrn_wlt0
    - leif_0_sum
    - signr_le0
    - mulr_le0
    - eqr_norm_id
    - nmulrn_rgt0
    - invr_lt0
    - eqr_sqrtC
    - deg2_poly_factor
    - ler_wpDr
    - ltr0_sg
    - expr_ge1
    - ltr0_real
    - Re_lock
    - leN_total
    - ltr_iXnr
    - leif_pM
    - real_addr_minl
    - ler_ltD
    - sqrtC_ge0
    - ltr_normr
    - sqrtCM
    - invf_plt
    - nnegrE
    - real_leif_AGM2
    - invr_gt0
    - lteifD2l
    - r2N
    - exprn_egt1
    - argCleP
    - real_addr_closed
    - lteifD2r
    - mulrn_wgt0
    - normr_nat
    - lerB_dist
    - sqrtC_gt0
    - deg2_poly_le0l
    - lef_pV2
    - splitr
    - deg2_poly_minE
    - deg2_poly_lt0
    - nmulr_rgt0
    - ler_wpM2r
    - gtr_pMl
    - posrE
    - ltr_distlDr
    - gerBl
    - addC_rect
    - ler_distD
    - sgr_id
    - gtr_nMl
    - ltr_pM2l
    - lern0
    - expr_lt1
    - realB
    - leif_normC_Re_Creal
    - le00
    - ImMil
    - normCBeq
    - rootC1
    - int_num_subring
    - CrealE
    - num_real
    - deg2_poly_gt0l
    - real_exprn_odd_lt0
    - ltr_nMl
    - natf_indexg
    - leif_rootC_AGM
    - pmulrn_rge0
    - sqrp_eq1
    - leif_nM
    - real1
    - addr_ge0
    - neqr0_sign
    - invr_ge1
    - real_ler_norm
    - lerDr
    - ltr_pMr
    - ltr_wnDl
    - oppr_gt0
    - char_num
    - mulr_ge0_le0
    - deg2_poly_gt0r
    - invr_ge0
    - leif_pprod
    - ltr_normlP
    - ler_pdivlMl
    - invf_ple
    - signr_lt0
    - real_addr_maxr
    - real_ler_distl
    - normCDeq
    - lerNr
    - poly_disk_bound
    - truncP
    - lt0r_neq0
    - pos_divr_closed
    - real_ltr_distlCBl
    - Creal_ImP
    - numNEsign
    - ger0_norm
    - ltrgt0P
    - lteif_normr
    - addr_ss_eq0
    - le01
    - ltr_nwDl
    - realE
    - bigmin_real
    - mulr_egt1
    - ler_iXnr
    - normCKC
    - nz2
    - trunc_def
    - natrP
    - lerN2
    - ger_pMr
    - ltr01
    - naddr_eq0
    - ieexprn_weq1
    - ltr_wnDr
    - ler_norm
    - sqrtr_ge0
    - deg2_poly_lt0m
    - sqrtrM
    - ltr_leD
    - ler_nnorml
    - ltrXn2r
    - ltr_ndivrMl
    - Nreal_gtF
    - deg2_poly_ge0
    - lt0_add
    - ReMir
    - real_minr_nMr
    - gt0_cp
    - ler_eXnr
    - sgr_def
    - ltrr
    - rootC_eq1
    - ltr0N1
    - normC_sum_upper
    - le0r
    - addr_ge0
    - paddr_eq0
    - lerr
    - conj_normC
    - mulr_ge0
    - pmulrnI
    - natrE
    - ltrBrDr
    - eqNr
    - real_addr_maxl
    - pmulr_rge0
    - eqC
    - ltrn0
    - lteif_pdivrMl
    - realn
    - lerB_real
    - min_real
    - pneq0
    - minNr
    - numEsign
    - le0r
    - ltr_wpXn2r
    - leif_nat_r
    - invr_sg
    - boundP
    - leif_AGM2_scaled
    - real_leNgt
    - sqrtC_lt0
    - sgrN
    - deg2_poly_ge0l
    - gtr0_real
    - ReMl
    - truncP
    - ler_wMn2r
    - real_comparable
    - rootC_le0
    - ler_niMl
    - realEsqr
    - lteifBlDl
    - ltr_pM2r
    - maxr_nMl
    - max_real
    - leif_AGM2
    - ler_normlW
    - normrEsign
    - Re_is_additive
    - rootC_Re_max
    - leifBLR
    - rootC_le1
    - rootC_lt1
    - real_ltr_normr
    - invC_Crect
    - lteifNr
    - real_ltP
    - ltr_nDr
    - deg2_poly_ge0r
    - exprn_odd_gt0
    - mulr_ge0_gt0
    - nnegrE
    - deg2_poly_lt0l
    - realn_mono_in
    - ler_pM
    - real_minrN
    - ler_norml
    - ler_distlCDr
    - deg2_poly_le0m
    - signr_gt0
    - nmulr_lgt0
    - sqr_ge0
    - deg2_poly_factor
    - pmulr_rgt0
    - ger_nMr
    - ltrD
    - norm_conjC
    - realn_nmono
    - real_ltr_distlCDr
    - rectC_mulr
    - ltr_distlBl
    - ltr_pdivlMr
    - ltrMn2r
    - realn_nmono_in
    - ger0P
    - invf_nge
    - realV
    - ger0_def
    - ler_pdivrMl
    - midf_lt
    - sgr1
    - deg2_poly_root2
    - real_ler_normr
    - sqrtr0
    - normr_id
    - ler_pV2
    - nmulrn_rge0
    - neg_unity_root
    - ltrNr
    - ler_weXn2l
    - pexpr_eq1
    - real_leif_AGM2_scaled
    - real_exprn_odd_ge0
    - deg2_poly_root2
    - ltr_nM2l
    - mulrn_eq0
    - sqrCK
    - sgr_nat
    - sgr_le0
    - le0_cp
    - le0_mul
    - ltrN2
    - pmulrn_lgt0
    - ltr_normlW
    - exprn_ile1
    - ltrNnormlW
    - eqr_norml
    - ler_eXn2l
    - real_maxrN
    - real_minr_nMl
    - midf_le
    - conjCi
    - Re_conj
    - subr_comparable0
    - eqr_rootC
    - ler_pM2l
    - deg2_poly_gt0m
    - deg2_poly_maxE
    - lteif_nM2r
    - nmulr_lle0
    - real_ltr_normlP
    - invf_pgt
    - lteif_pdivlMl
    - nonRealCi
    - mul_conjC_gt0
    - le_trans
    - ler_ndivrMl
    - ltr_pV2
    - nmulrn_rle0
    - lerBrDr
    - normC_rect
    - real_ler_distlDr
    - le_def
    - invf_ge1
    - Creal_Re
    - sum_real
    - ltrBlDr
    - ltrgtP
    - deg2_poly_gt0
    - CrealP
    - normr_gt0
    - normC2_Re_Im
    - ler_sqrtC
    - deg2_poly_factor
    - realD
    - prodr_ge0
    - real_wlog_ltr
    - ltr_leB
    - realrM
    - ltr_nV2
    - real_ge0P
    - ler1_real
    - Creal_ReP
    - ler_real
    - deg2_poly_min
    - ltr_pDl
    - ler0_def
    - deg2_poly_root1
    - ler_distlC
    - sgrM
    - realEsg
    - Im_rect
    - real_mulr_sign_norm
    - eqrMn2r
    - rootCMl
    - real_ltr_norml
    - Im_is_additive
    - deg2_poly_ge0l
    - addr_min_max
    - mulr_lt0
    - pmulr_lge0
    - ler_peMl
    - ltr0_neq0
    - maxrN
    - ltr_ndivlMl
    - le_normD
    - real_wlog_ler
    - invC_norm
    - pmulr_rgt0
    - comparable0r
    - divC_rect
    - real_minNr
    - exprCK
    - pexprn_eq1
    - ler_wpDl
    - eqr_sqrt
    - CrealJ
    - comparabler_trans
    - exprn_ege1
    - real_exprn_odd_gt0
    - ler_distlCBl
    - real_maxr_nMr
    - natr_nat
    - sqrtrP
    - ltf_pV2
    - conjC_nat
    - ler_distl
    - ler_addgt0Pl
    - realEsign
    - ler_piMr
    - ger_nMl
    - Cauchy_root_bound
    - pmulr_llt0
    - normCi
    - ltr_pwDr
    - ltr_wpDl
    - sgr_eq0
    - a2
    - lteif_nnormr
    - leifD
    - ltr_pM
    - exprn_ge0
    - realX
    - subr_le0
    - ler_addgt0Pr
    - expr_le1
    - ler_wpM2l
    - ler0N1
    - real_maxr_nMl
    - lteif_ndivlMl
    - normC_sum_eq
    - xb4
    - real_exprn_even_ge0
    - ler01
    - sqrtCK
    - ltr_ndivrMr
    - lerP
    - lerB
    - deg_le2_poly_delta_ge0
    - lteif_pdivlMr
    - ltr_pMl
    - exprn_ilt1
    - ltr_rootC
    - ImMir
    - lteif_ndivrMr
    - ltrBlDl
    - addr_maxr
    - real_leVge
    - ler_nMl
    - rootC_inj
    - lteifBrDl
    - ltW
    - ltr_norml
    - ltr_pMn2l
    - mulr_sg_eq1
    - normr_lt0
    - addr_maxl
    - lerNl
    - ler_ndivlMl
    - ler_wsqrtr
    - conjC_eq0
    - numEsg
    - natrG_gt0
    - Im_conj
    - ler_normB
    - natr_indexg_neq0
    - sgr_lt0
    - nat_num_semiring
    - divr_ge0
    - normr_sg
    - rootC_ge1
    - distrC
    - ltr_wMn2r
    - ltr_iXn2l
    - sqrtr_subproof
    - real_divr_closed
    - pmulrn_lge0
    - signr_inj
    - real_ler_distlBl
    - ler_nM2l
    - normrN
    - real_mulr_Nsign_norm
    - ReMr
    - upper_nthrootP
    - deg2_poly_noroot
    - archi_boundP
    - num_real
    - divr_gt0
    - ler0_real
    - real_ler_norml
    - ler_psqrt
    - normr_idP
    - ltr_sqr
    - a4
    - oppr_le0
    - minr_pMr
    - expr_gt1
    - mulrn_wle0
    - maxr_to_min
    - real_exprn_even_le0
    - normr_sign
    - invC_rect
    - real_oppr_min
    - sgrX
    - Nreal_geF
    - lteifBlDr
    - psumr_eq0P
    - real_addr_minr
    - ler0n
    - exprn_even_le0
    - invf_lt1
    - geC0_unit_exp
    - lteif_distl
    - ler_sqrt
    - realMr
    - ltr_nM2r
    - realrMn
    - unitf_lt0
    - pmulrn_llt0
    - ger0_le_norm
    - Re_rect
    - sgr_smul
    - ReV
    - sqrCK_P
    - ltr_wpDr
    - mulr_le0_ge0
    - real_eqr_norml
    - gtrDl
    - signr_ge0
    - lt_def
    - normC_def
    - ler_neMl
    - oppC_rect
    - nmulr_rlt0
    - rootCX
    - norm_rootC
    - deg2_poly_le0m
    - ler_wnDr
    - Im_lock
    - invr_le1
    - ger0_def
    - Re_i
    - ltr_rootCl
    - sqrn_eq1
    - sgr_cp0
    - ltr_sqrtC
    - ler_dist_normD
    - real_lteif_normr
    - ltr_eXn2l
    - sqrtC_le0
    - ler_dist_dist
    - ler_pXn2r
    - ltr_pdivlMl
    - mulC_rect
    - gtrN
    - invr_le0
    - rootCV
    - subr_lteif0r
    - maxr_pMr
    - realM
    - deg2_poly_ge0m
    - lerBlDr
    - real_le0P
    - rootCpX
    - real_leif_mean_square_scaled
    - normf_div
    - rectC_mull
    - ler_pdivlMr
    - sumr_ge0
    - deltaN
    - mul_conjC_eq0
    - pmulr_lle0
    - deg2_poly_root1
    - gerDr
    - le_normD
    - lt01
    - a2gt0
    - mulCii
    - invr_lt1
    - sqr_sg
    - eqCP
    - neq0_mulr_lt0
    - lteif_pM2r
    - real_ler_normlP
    - subr_gt0
    - a1
    - real_ltNge
    - addr_minl
    - ltr10
    - invf_pge
    - ReE
    - gerDl
    - ler_niMr
    - ltr_pXn2r
    - ler_pdivrMr
    - maxr_nMr
    - ltrD2r
    - pmulrn_rlt0
    - ler_piMl
    - ltr_nMr
    - sqrtr1
    - ltr_ndivlMr
    - rootC_eq0
    - lteif0Nr
    - real_exprn_even_gt0
    - eq0_norm
    - Re_div
    - ler_sum
    - pneq0
    - sgrMn
  - path: mathcomp/solvable/sylow.v
    theorems:
    - nilpotent_maxp_normal
    - card_Syl_dvd
    - Baer_Suzuki
    - Sylow_exists
    - nil_class3
    - pgroup_nil
    - nil_Zgroup_cyclic
    - Hall_pJsub
    - card_p2group_abelian
    - trivg_center_pgroup
    - morphim_Zgroup
    - Hall_psubJ
    - sub_nilpotent_cent2
    - pgroup_fix_mod
    - nil_class2
    - Syl_trans
    - pcore_sub_astab_irr
    - nilpotent_Hall_pcore
    - Sylow_setI_normal
    - Sylow_trans
    - Hall_setI_normal
    - nontrivial_gacent_pgroup
    - pgroup_sol
    - nil_class_pgroup
    - pcore_faithful_irr_act
    - p2group_abelian
    - Sylow's_theorem
    - small_nil_class
    - Sylow_subJ
    - normal_pgroup
    - Frattini_arg
    - max_pgroup_Sylow
    - nilpotent_pcoreC
    - card_Syl
    - coprime_mulG_setI_norm
    - pi_center_nilpotent
    - Sylow_subnorm
    - normal_sylowP
    - Sylow_gen
    - Sylow_transversal_gen
  - path: mathcomp/field/fieldext.v
    theorems:
    - size_Fadjoin_poly
    - Fadjoin0
    - mulfxC
    - prodvAC
    - base_aspaceOver
    - minPolyxx
    - field_subvMr
    - field_module_eq
    - monic_minPoly
    - base_moduleOver
    - root_minPoly
    - mem1v
    - p0z0
    - Fadjoin_nil
    - field_module_semisimple
    - sub1v
    - irredp_FAdjoin
    - baseField_scaleDr
    - aspaceOver_suproof
    - nz_p0
    - Fadjoin_polyX
    - nonzero1fx
    - field_mem_algid
    - adjoin0_deg
    - subfx_irreducibleP
    - subfield_closed
    - subfx_inj_is_additive
    - map_minPoly
    - vspaceOver_refBase
    - subfx_scalerDr
    - Fadjoin_poly_is_linear
    - field_dimS
    - Fadjoin_polyC
    - pi_subfx_inj
    - minPolyOver
    - AEnd_lker0
    - fieldExt_hornerX
    - modp_polyOver
    - subfx_poly_invE
    - dim_sup_field
    - poly_rV_modp_K
    - vsval_invf
    - Fadjoin_eq_sum
    - aimg_is_aspace
    - pi_subfext_add
    - subfx_scaleAr
    - subfx_inj_eval
    - dim_Fadjoin
    - AHom_lker0
    - subfx_fieldAxiom
    - fieldOver_scaleAl
    - subfx_scalerA
    - polyOver_subvs
    - subfx_inj_base
    - polyOverSv
    - subfx_scalerDl
    - fieldOver_scaleE
    - subfx_inj_root
    - mem_aspaceOver
    - sup_field_module
    - baseField_scale1
    - addfxC
    - Fadjoin_idP
    - baseField_vectMixin
    - pi_subfext_inv
    - addfxA
    - dim_vspaceOver
    - nz_p
    - baseField_scaleDl
    - Fadjoin_polyP
    - iotaPz_repr
    - adjoin_deg_eq1
    - z0Ciota
    - iotaPz_modp
    - sub_baseField
    - add0fx
    - aspaceOverP
    - sub_adjoin1v
    - subfx_eval_is_additive
    - p0_mon
    - dim_aspaceOver
    - subfxEroot
    - subvs_fieldMixin
    - mempx_Fadjoin
    - fieldOver_scaleDl
    - field_module_dimS
    - prodvCA
    - gcdp_polyOver
    - fieldOver_scaleDr
    - root_small_adjoin_poly
    - aspace_divr_closed
    - baseVspace_module
    - mul1fx
    - prodvC
    - fieldOver_scaleA
    - FadjoinP
    - minPoly_irr
    - addfxN
    - mulfxA
    - fieldExt_hornerC
    - baseField_scaleA
    - F0ZEZ
    - pi_subfext_opp
    - equiv_subfext_is_equiv
    - adjoin_degree_aimg
    - subfx_scaleAl
    - prodv_is_aspace
    - subfx_eval_is_multiplicative
    - fieldExt_hornerZ
    - pi_subfext_mul
    - min_subfx_vect
    - subfx_evalZ
    - field_subvMl
    - algid1
    - mem_baseVspace
    - baseField_scaleE
    - dim_cosetv
    - alg_polyOver
    - dim_baseVspace
    - trivial_fieldOver
    - nz_x_i
    - mulfx_addl
    - dim_field_module
    - subfx_inv0
    - fieldOver_vectMixin
    - subfxE
    - Fadjoin_poly_mod
    - baseField_scaleAr
    - fieldOver_scaleAr
    - size_minPoly
    - Fadjoin1_polyP
    - vspaceOverP
    - minPolyS
    - Fadjoin_poly_eq
    - baseField_scaleAl
    - baseAspace_suproof
    - Fadjoin_polyOver
    - module_baseAspace
    - adjoin_degreeE
    - minPoly_XsubC
    - Fadjoin_seqP
    - n_gt0
    - Fadjoin_sum_direct
    - base_vspaceOver
    - fieldOver_scale1
    - subfx_injZ
    - Fadjoin_poly_unique
  - path: mathcomp/character/character.v
    theorems:
    - cfBigdprodi_lin_char
    - cfker_constt
    - cfcenter_sub
    - lin_charV_conj
    - cfDprodr_lin_char
    - irr_inv
    - cfMorph_charE
    - subGcfker
    - cfAut_lin_char
    - cfDetRes
    - xcfunZr
    - cfDetMorph
    - cfQuo_irr
    - cfRepr_dsum
    - dsumx_mul
    - cap_cfker_normal
    - neq0_has_constt
    - cfConjC_irr1
    - cfdot_sum_irr
    - irr_prime_injP
    - conjC_IirrK
    - trow_is_linear
    - cfAut_irr1
    - Iirr_cast
    - add_mx_repr
    - cfker_reg_quo
    - cfdot_Res_ge_constt
    - irr_free
    - tprodE
    - cfRepr_inj
    - dprodr_IirrE
    - cfConjC_lin_char
    - sdprod_IirrE
    - TI_cfker_irr
    - irr_classP
    - card_afix_irr_classes
    - mxtrace_prod
    - irr_basis
    - cfcenter_repr
    - lin_char_unity_root
    - cfRegE
    - socle_of_Iirr_bij
    - irr_eq1
    - cfReg_sum
    - cfRepr_standard
    - isom_IirrE
    - cfkerEirr
    - cap_cfcenter_irr
    - conjC_Iirr0
    - cfaithful_reg
    - dprod_IirrEl
    - cfSdprod_irr
    - cfun1_irr
    - aut_IirrE
    - irr1_gt0
    - Res_irr_neq0
    - cfnorm_Res_leif
    - irrWnorm
    - Iirr1_neq0
    - cfDet_order_dvdG
    - lin_char_prod
    - Res_sdprod_irr
    - cap_cfker_lin_irr
    - lin_char_group
    - char1_ge_constt
    - reindex_irr_class
    - Ind_irr_neq0
    - cfnorm_irr
    - cfRepr_subproof
    - dprod_Iirr0r
    - eq_irr_mem_classP
    - conjC_IirrE
    - cfInd_eq0
    - cfRepr_sub
    - lin_char_neq0
    - eq_subZnat_irr
    - cfMorph_char
    - isom_Iirr0
    - cfcenter_cyclic
    - cfRes_lin_char
    - char_sum_irr
    - lin_charX
    - dprodr_Iirr0
    - prod_mx_repr
    - trowbE
    - cfMod_charE
    - cfBigdprodi_char
    - irr_of_socle_bij
    - mod_Iirr0
    - irr_cfcenterE
    - cfRepr1
    - cfExp_prime_transitive
    - socle_Iirr0
    - cfDprodr_irr
    - cfker_irr0
    - cfMod_irr
    - Wedderburn_id_expansion
    - cfMod_char
    - dprod_Iirr0l
    - lin_charM
    - cfcenter_normal
    - cfcenter_group_set
    - irr_faithful_center
    - max_cfRepr_mx1
    - linear_char_divr
    - dprod_Iirr_onto
    - dprod_Iirr0
    - cfRepr_char
    - irr1_bound
    - constt_Res_trans
    - quo_Iirr_eq0
    - dprod_IirrEr
    - cfMorph_lin_char
    - cfRepr_rsimP
    - mod_IirrK
    - eq_addZ_irr
    - morph_Iirr_eq0
    - cfBigdprod_irr
    - cfConjC_irr
    - cfBigdprodi_lin_charE
    - cfQuo_lin_charE
    - irrP
    - cforder_lin_char
    - constt_ortho_char
    - cfdot_aut_char
    - groupC
    - constt_cfInd_irr
    - cfkerE
    - cfRes_char
    - aut_Iirr_inj
    - cfBigdprod_Res_lin
    - cfBigdprod_lin_char
    - irr_orthonormal
    - sdprod_Iirr0
    - cfBigdprod_char
    - cfIsom_char
    - cfRepr_morphim
    - xcfun_id
    - cfker_Res
    - sAG
    - dprod_IirrK
    - dprodl_Iirr0
    - irr_char
    - cfIsom_irr
    - dprodr_IirrK
    - mul_conjC_lin_char
    - eq_scaled_irr
    - cfDetD
    - card_Iirr_abelian
    - dprod_IirrE
    - irr_cyclic_lin
    - cfDprodKl_abelian
    - cfun1_char
    - sdprod_Iirr_eq0
    - morph_Iirr_inj
    - quo_IirrK
    - quo_IirrE
    - cfBigdprodi_charE
    - normC_lin_char
    - cfDet_order_lin
    - trow0
    - cfIirrE
    - aut_Iirr0
    - cfcenter_eq_center
    - isom_IirrKV
    - cfDet_lin_char
    - irr1_neq0
    - cfun1_lin_char
    - second_orthogonality_relation
    - nKG
    - cfBigdprodKabelian
    - trowb_is_linear
    - cfun0_char
    - cfun_sum_cfdot
    - class_IirrK
    - character_table_unit
    - cfDprod_irr
    - congr_irr
    - conjC_irrAut
    - first_orthogonality_relation
    - dprod_Iirr_inj
    - isom_IirrK
    - trow_mul
    - cfcenter_fful_irr
    - cfdot_dprod_irr
    - cfMorph_irr
    - cfSdprod_char
    - detRepr_lin_char
    - cfIirr_key
    - mod_Iirr_eq0
    - cfDprod_char
    - cfkerEchar
    - char_sum_irrP
    - cfIsom_lin_char
    - prod_repr_lin
    - cfRes_lin_lin
    - cfDetMn
    - cfConjC_char1
    - NirrE
    - cfIirrPE
    - dprod_Iirr_eq0
    - mul_lin_irr
    - Cnat_cfdot_char_irr
    - sdprod_Res_IirrE
    - cforder_irr_eq1
    - lin_char_der1
    - sdprod_IirrK
    - irr_sum_square
    - cfBigdprod_eq1
    - xcfun_mul_id
    - cfRepr_dadd
    - eq_signed_irr
    - irr1_degree
    - isom_Iirr_eq0
    - repr_rsim_diag
    - cfDet_id
    - cfDprodKr_abelian
    - char1_ge_norm
    - irr_reprP
    - irr1_abelian_bound
    - has_nonprincipal_irr
    - xcfun_is_additive
    - mx_rsim_socle
    - irr_prime_lin
    - mod_IirrE
    - repr_irr_classK
    - inv_dprod_Iirr0
    - irr0
    - morph_Iirr0
    - cfRepr_sim
    - cforder_lin_char_gt0
    - cfker_center_normal
    - isom_Iirr_inj
    - cfQuo_charE
    - lin_charW
    - cfdot_irr
    - cfAut_char1
    - irr_neq0
    - cfBigdprodi_irr
    - cfDprod_eq1
    - cfdot_char_r
    - solvable_has_lin_char
    - cfInd_char
    - cfAut_irr
    - coord_cfdot
    - cfQuo_lin_char
    - mx_rsim_dsum
    - cfcenter_subset_center
    - Cnat_irr1
    - irrK
    - cfDet0
    - cfBigdprodKlin
    - cfSdprod_lin_char
    - card_subcent1_coset
    - cfker_Ind
    - xcfunG
    - mx_rsim_dadd
    - cfDprodl_char
    - conjC_Iirr_eq0
    - lin_char_irr
    - lin_irr_der1
    - dprodl_IirrE
    - card_Iirr_cyclic
    - invr_lin_char
    - Cnat_char1
    - generalized_orthogonality_relation
    - cfRepr0
    - mem_irr
    - dprodl_IirrK
    - char_reprP
    - morph_IirrE
    - mx_rsim_standard
    - cfDetIsom
    - Nxi
    - cfDprodl_lin_char
    - irrWchar
    - usumx_mul
    - char1_eq0
    - cfMod_lin_charE
    - constt_irr
    - cfConjC_char
    - Res_Iirr0
    - aut_Iirr_eq0
    - quo_Iirr0
    - fful_lin_char_inj
    - cfDet_mul_lin
    - XX'_1
    - conjC_charAut
    - irrRepr
    - xiMV
    - socle_of_IirrK
    - irrEchar
    - xcfun_repr
    - cfDprodr_char
    - cfDetRepr
    - tprod_tr
    - cfReg_char
    - cfMorph_lin_charE
    - mul_char
    - cfQuo_char
    - char_abelianP
    - card_lin_irr
    - mx_repr0
    - quo_IirrKeq
    - lin_char_unitr
    - eq_scale_irr
    - char_inv
    - cfun_sum_constt
    - cforder_lin_char_dvdG
    - char_cfcenterE
    - cfDprod_lin_char
    - char1_ge0
    - dprodr_Iirr_eq0
    - cfcenter_Res
    - det_is_repr
    - irr_aut_closed
    - irr_of_socleK
    - constt_cfRes_irr
    - lin_char1
    - sdprod_Res_IirrK
    - cfker_nzcharE
    - cfReprReg
    - mod_Iirr_bij
    - add_char
  - path: mathcomp/field/algnum.v
    theorems:
    - Aint_aut
    - Crat_spanP
    - eqAmodMr0
    - eqAmod_refl
    - eqAmod_addl_mul
    - restrict_aut_to_normal_num_field
    - eqAmod0_rat
    - Crat_span_zmod_closed
    - eqAmodMl0
    - dec_Cint_span
    - eqAmodN
    - restrict_aut_to_num_field
    - fin_Csubring_Aint
    - Aint0
    - eqAmodMl
    - Cint_span_zmod_closed
    - eqAmod0_nat
    - eqAmodD
    - dvdA_zmod_closed
    - num_field_exists
    - mem_Cint_span
    - Aint_prim_root
    - Aint1
    - eqAmod0
    - Aint_subring
    - eqAmod_rat
    - rmorphZ_num
    - eqAmodm0
    - eqAmodMr
    - dvdn_orderC
    - Aint_Cint
    - eqAmod_transl
    - exp_orderC
    - eqAmod_sym
    - root_monic_Aint
    - Crat_spanM
    - Aint_unity_root
    - eqAmod_transr
    - alg_num_field
    - mem_Crat_span
    - Crat_spanZ
    - Aint_Cnat
    - map_Qnum_poly
    - eqAmod_trans
    - num_field_proj
    - eqAmod_nat
    - eqAmodM
    - Cint_spanP
    - Crat_span_subproof
    - fmorph_numZ
    - Aint_int
    - extend_algC_subfield_aut
    - eqAmodDl
    - eqAmodDr
    - algC_PET
    - Cint_rat_Aint
  - path: mathcomp/algebra/poly.v
    theorems:
    - drop_poly_is_linear
    - comm_poly_exp
    - multiplicity_XsubC
    - mul_0poly
    - coefXM
    - root_ZXsubC
    - polyOverZ
    - comp_poly0
    - mul_poly_key
    - size_map_polyC
    - size_Poly
    - fmorph_unity_root
    - nderivnC
    - monicXnaddC
    - prim_root_dvd_eq0
    - map_polyXaddC
    - nderivnMn
    - size_polyC_leq1
    - odd_polyE
    - commr_polyXn
    - dvdn_prim_root
    - lead_coefM
    - aa4
    - polySpred
    - polyOverNr
    - comm_polyX
    - rpred_horner
    - size_polyXn
    - size_exp_leq
    - prim_root_natf_neq0
    - derivnC
    - derivnB
    - scale_poly_eq0
    - rootE
    - comp_poly_eq0
    - nderivnXn
    - lead_coefDr
    - size_poly_eq
    - mul_polyDr
    - derivMXaddC
    - poly2_root
    - comp_polyXaddC_K
    - horner_eval_is_linear
    - prim_order_dvd
    - scale_polyC
    - mul_poly0
    - derivn1
    - coefMXn
    - horner_coef_wide
    - lead_coefX
    - nderivn_def
    - polyOver0
    - size_exp
    - polyseqXn
    - rreg_polyMC_eq0
    - hornerN
    - prim_expr_order
    - lead_coef_monicM
    - root_exp_XsubC
    - scale_1poly
    - polyC0
    - root_polyC
    - deg2_poly_root1
    - size1_polyC
    - even_polyD
    - monic_neq0
    - coefXn
    - coef_opp_poly
    - derivnXn
    - lead_coef_map_inj
    - closed_nonrootP
    - size_odd_poly
    - rmorph_root
    - lead_coefMX
    - polyOver_addr_closed
    - monic_lreg
    - polyX_key
    - map_polyZ
    - commr_horner
    - monic_exp
    - aneq0
    - polyXsubC_eq0
    - deg2_poly_canonical
    - lead_coef_exp
    - polyOverC
    - closed_rootP
    - rootN
    - coef0
    - polyOverXaddC
    - map_poly_inj
    - mul_polyC
    - rmorph_unity_root
    - hornerXn
    - poly_inj
    - polyCM
    - mapf_root
    - coef0_prod_XsubC
    - polyOver_poly
    - factor_Xn_sub_1
    - size_prod_seq
    - comp_poly_multiplicative
    - scale_poly_key
    - lead_coefXnsubC
    - factor_theorem
    - prim_root_charF
    - size_exp_XsubC
    - take_polyDMXn
    - odd_polyD
    - comm_polyM
    - unity_rootE
    - root0
    - horner_prod
    - deg2_poly_root1
    - polyOver_deriv
    - root_prod_XsubC
    - drop_polyDMXn
    - size_prod_seq_eq1
    - size_prod_leq
    - coefB
    - derivnMNn
    - derivMNn
    - even_polyZ
    - lead_coef_map
    - rootPt
    - polyOverXnsubC
    - polyCV
    - comm_poly1
    - polyCMn
    - derivMn
    - take_poly0l
    - coef_map_id0
    - dec_factor_theorem
    - odd_polyZ
    - size_drop_poly
    - map_poly_is_multiplicative
    - prim_rootP
    - coef_drop_poly
    - sum_odd_poly
    - sum_even_poly
    - coef_comp_poly_Xn
    - poly_mulVp
    - polyseq_cons
    - hornerMX
    - rootPf
    - map_poly_com
    - prim_expr_mod
    - size_prod_eq1
    - polyCK
    - derivXsubC
    - size_add
    - size_comp_poly2
    - coefMn
    - polyOverXn
    - map_polyC
    - comp_poly_is_linear
    - nderivn0
    - hornerD
    - size_opp
    - coefCM
    - nderivnMNn
    - comp_polyM
    - prim_root_eq0
    - commr_polyX
    - map_prod_XsubC
    - prim_root_exp_coprime
    - roots_geq_poly_eq0
    - lead_coefDl
    - poly_take_drop
    - unity_rootP
    - derivnMXaddC
    - hornerXsubC
    - mul_lead_coef
    - deg2_poly_root2
    - map_polyE
    - map_comm_coef
    - deriv_exp
    - map_poly_comp_id0
    - map_poly_is_additive
    - root_exp
    - horner_map
    - coefXnM
    - coefPn_prod_XsubC
    - poly_intro_unit
    - monic_map
    - size_polyC
    - poly_inv_out
    - even_polyE
    - eqp_take_drop
    - polyOverXsubC
    - size_poly
    - size_poly0
    - size_Mmonic
    - size_polyX
    - lead_coefE
    - comp_polyX
    - rootZ
    - derivM
    - max_poly_roots
    - odd_polyMX
    - size_even_poly_eq
    - even_polyC
    - polyC_inj
    - polyseqXaddC
    - comp_polyZ
    - monic_mulr_closed
    - monic_prod_XsubC
    - polyseqMX
    - polyOver_mulr_2closed
    - polyC_eq0
    - take_polyMXn_0
    - horner_algX
    - nderiv_taylor_wide
    - polyX_eq0
    - poly_even_odd
    - rreg_size
    - comp_poly_MXaddC
    - prim_root_pi_eq0
    - polyseqC
    - coef_mul_poly
    - comp_polyB
    - lead_coef_Mmonic
    - comp_poly0r
    - derivXn
    - poly_idomainAxiom
    - horner0
    - size_map_inj_poly
    - polyC1
    - nderivn_map
    - mem_root
    - coef_odd_poly
    - map_comm_poly
    - polyP
    - deg2_poly_canonical
    - drop_polyZ
    - mul_polyA
    - size_XmulC
    - derivnZ
    - size_sum
    - root_XaddC
    - coef_cons
    - polyseqK
    - aut_unity_rootC
    - horner_coef0
    - scale_polyAl
    - comp_polyXr
    - add_poly0
    - sqa2neq0
    - poly_mul_comm
    - max_unity_roots
    - hornerCM
    - coef0_prod
    - multiplicity_XsubC
    - monicXaddC
    - fmorph_root
    - lead_coef_eq0
    - derivSn
    - nderiv_taylor
    - horner_comp
    - monic1
    - size_poly_gt0
    - coefMC
    - nderivnB
    - horner_is_linear
    - monicXn
    - poly_initial
    - size_map_poly
    - in_alg_comm
    - polyOver_derivn
    - hornerX
    - size_mulXn
    - deriv0
    - rootM
    - comm_coef_poly
    - lead_coef_lreg
    - size_prod_XsubC
    - multiplicity_XsubC
    - polyseqMXn
    - polyseq0
    - polyC_natr
    - lead_coef1
    - derivn_is_linear
    - polyseqXsubC
    - horner_exp
    - polyCD
    - coef0M
    - prim_order_gt0
    - coef_derivn
    - lead_coefN
    - aut_unity_rootP
    - nderivn_is_linear
    - coef_deriv
    - coefMr
    - eq_map_poly
    - rreg_lead
    - map_diff_roots
    - comm_polyD
    - opp_poly_key
    - drop_poly0r
    - size_MXaddC
    - coefX
    - map_Poly
    - comp_polyE
    - coefC
    - monicMl
    - size_mul
    - coef_nderivn
    - horner_morphX
    - coef_poly
    - cons_poly_def
    - deriv_mulC
    - lt_size_deriv
    - horner_is_multiplicative
    - polyseq_poly
    - derivnS
    - polyOverXnaddC
    - even_polyMX
    - deriv_comp
    - polyC_multiplicative
    - closed_rootP
    - map_polyXn
    - polyOver_comp
    - take_poly0r
    - derivn0
    - aut_prim_rootP
    - comp_poly2_eq0
    - prod_map_poly
    - a1
    - polyOver_mul1_closed
    - poly0Vpos
    - size_Cmul
    - horner_algC
    - hornerC
    - size_prod
    - nderivnZ
    - deg2_poly_factor
    - map_inj_poly
    - monicP
    - size_scale_leq
    - hornerM_comm
    - map_poly_id
    - eq_poly
    - poly_key
    - size_proper_mul
    - polyseqX
    - map_polyK
    - size_cons_poly
    - drop_poly_sum
    - comp_polyD
    - derivn_map
    - max_ring_poly_roots
    - root_size_gt1
    - eq_prim_root_expr
    - deriv_map
    - take_polyD
    - polyOverX
    - eq_in_map_poly_id0
    - size_poly1
    - eq_in_map_poly
    - lead_coefXsubC
    - size_even_poly
    - poly_morphX_comm
    - coefZ
    - monicE
    - coef_map
    - lead_coef0
    - pneq0
    - splitr
    - poly_invE
    - poly_unitE
    - coef_take_poly
    - rreg_div0
    - derivC
    - monic_prod
    - map_uniq_roots
    - lead_coefZ
    - coefp0_multiplicative
    - monic_rreg
    - all_roots_prod_XsubC
    - polyOver_nderivn
    - a2neq0
    - lreg_lead0
    - coef_Poly
    - lreg_lead
    - pE
    - monicXnsubC
    - rootX
    - lead_coef_map_eq
    - horner_cons
    - derivnD
    - size_mul_eq1
    - char_poly
    - coefD
    - drop_poly0l
    - poly_def
    - lead_coefXnaddC
    - coef_sum
    - rootP
    - horner_exp_comm
    - PolyK
    - coefMNn
    - map_poly0
    - add_polyA
    - derivn_poly0
    - gt_size_poly_neq0
    - lead_coefC
    - size_take_poly
    - lead_coef_comp
    - derivB
    - nderivn_poly0
    - size_map_poly_id0
    - coef_even_poly
    - scale_polyA
    - lreg_polyZ_eq0
    - size_poly1P
    - lead_coefXn
    - root_XsubC
    - drop_polyMXn
    - odd_poly_is_linear
    - lead_coef_prod_XsubC
    - derivnMn
    - lead_coef_poly
    - horner_morphC
    - nderivnMXaddC
    - exp_prim_root
    - size_monicM
    - map_poly_comp
    - alg_polyC
    - comp_Xn_poly
    - sum_drop_poly
    - map_polyX
    - take_poly_id
    - fmorph_primitive_root
    - size_comp_poly
    - comp_poly_Xn
    - horner_eval_is_multiplicative
    - mem_unity_roots
    - monicX
    - size_XnsubC
    - lead_coef_proper_mul
    - poly1_neq0
    - hornerZ
    - map_polyC_eq0
    - lead_coef_prod
    - coefK
    - derivD
    - nderivnN
    - coef_mul_poly_rev
    - add_polyN
    - monicXsubC
    - mul_poly1
    - hornerMXaddC
    - size_XsubC
    - take_poly_sum
    - uniq_roots_prod_XsubC
    - horner_sum
    - uniq_rootsE
    - size_mul_leq
    - nderivnD
    - mul_1poly
    - coefM
    - nderivn1
    - mul_polyDl
    - drop_polyMXn_id
    - nil_poly
    - horner_Poly
    - odd_polyC
    - polyCN
    - take_polyZ
    - comp_polyC
    - monic_comreg
    - horner_poly
    - even_poly_is_linear
    - hornerMn
    - polyOverS
    - scale_polyDr
    - root_comp
  - path: mathcomp/field/separable.v
    theorems:
    - extendDerivation_id
    - separable_generatorP
    - adjoin_separable_eq
    - separable_polyP
    - extendDerivation_horner
    - separable_deriv_eq0
    - separable_refl
    - poly_square_freeP
    - strong_Primitive_Element_Theorem
    - make_separable
    - eqp_separable
    - separableS
    - Derivation_scalar
    - Derivation_separable
    - sub_inseparable
    - charf_n_separable
    - separableP
    - adjoin_separableP
    - Primitive_Element_Theorem
    - separable_Fadjoin_seq
    - cyclic_or_large
    - extendDerivation_scalable_subproof
    - extendDerivationP
    - separable_generator_mem
    - separable_poly_neq0
    - charf0_separable
    - separable_map
    - separable_root
    - separableSl
    - purely_inseparableP
    - purely_inseparable_trans
    - separable_root_der
    - finite_PET
    - eq_adjoin_separable_generator
    - adjoin_separable
    - Derivation_exp
    - separablePn
    - separable_elementP
    - inseparable_sum
    - sub_adjoin_separable_generator
    - separable_sum
    - separable_inseparable_decomposition
    - inseparable_add
    - extendDerivation_additive_subproof
    - Derivation1
    - separable_coprime
    - separable_mul
    - separable_elementS
    - separable_nz_der
    - charf_p_separable
    - Derivation_separableP
    - purely_inseparable_elementP
    - DerivationS
    - separableSr
    - Derivation_mul
    - Derivation_horner
    - separable_exponent
    - purely_inseparable_refl
    - large_field_PET
    - separable_nosquare
    - separable_trans
  - path: mathcomp/solvable/extremal.v
    theorems:
    - r_gt0
    - cyclic_SCN
    - odd_pgroup_rank1_cyclic
    - Grp_2dihedral
    - defQ
    - dihedral2_structure
    - modular_group_classP
    - card_quaternion
    - def2qr
    - card_ext_dihedral
    - def_q
    - prime_Ohm1P
    - involutions_gen_dihedral
    - maximal_cycle_extremal
    - ltqm
    - card_2dihedral
    - modular_group_structure
    - Grp_ext_dihedral
    - generators_modular_group
    - cyclic_pgroup_Aut_structure
    - Grp_quaternion
    - r_gt0
    - def_r
    - dihedral_classP
    - def_p
    - bound_extremal_groups
    - card_modular_group
    - card_semidihedral
    - card
    - generators_quaternion
    - generators_semidihedral
    - quaternion_structure
    - aut_dvdn
    - Grp'_dihedral
    - semidihedral_structure
    - card_dihedral
    - act_dom
    - extremal2_structure
    - eq_Mod8_D8
    - ltrq
    - Grp_dihedral
    - Grp
    - Grp_modular_group
    - q_gt1
    - q_gt0
    - symplectic_type_group_structure
    - Grp_semidihedral
    - semidihedral_classP
    - quaternion_classP
    - cancel_index_extremal_groups
  - path: mathcomp/solvable/maximal.v
    theorems:
    - injm_Fitting
    - Fitting_group_set
    - SCN_P
    - der1_stab_Ohm1_SCN_series
    - Ohm1_stab_Ohm1_SCN_series
    - card_extraspecial
    - p_index_maximal
    - Phi_Mho
    - p3group_extraspecial
    - charsimple_dprod
    - isog_extraspecial
    - index_maxnormal_sol_prime
    - p_core_Fitting
    - Phi_quotient_abelem
    - trivg_Phi
    - Fitting_sub
    - pcore_Fitting
    - Phi_nongen
    - injm_special
    - sol_prime_factor_exists
    - Phi_joing
    - extraspecial_prime
    - solvable_norm_abelem
    - exponent_special
    - Phi_normal
    - Phi_sub
    - SCN_max
    - simple_sol_prime
    - charsimpleP
    - Phi_quotient_cyclic
    - maxnormal_charsimple
    - cprod_extraspecial
    - injm_extraspecial
    - center_special_abelem
    - Fitting_pcore
    - Fitting_normal
    - p_maximal_index
    - minnormal_solvable
    - Fitting_nil
    - Fitting_eq_pcore
    - FittingEgen
    - Fitting_char
    - split1_extraspecial
    - Phi_char
    - PhiJ
    - card_subcent_extraspecial
    - p_abelem_split1
    - Frattini_continuous
    - abelem_split_dprod
    - Phi_sub_max
    - critical_extraspecial
    - cent1_extraspecial_maximal
    - Phi_min
    - quotient_Phi
    - Thompson_critical
    - Phi_cprod
    - Phi_mulg
    - critical_class2
    - p_maximal_normal
    - injm_Phi
    - extraspecial_nonabelian
    - trivg_Fitting
    - morphim_Fitting
    - abelem_charsimple
    - charsimple_solvable
    - center_aut_extraspecial
    - pmaxElem_extraspecial
    - isog_Phi
    - PhiS
    - card_center_extraspecial
    - Ohm1_cent_max_normal_abelem
    - Phi_proper
    - max_SCN
    - isog_Fitting
    - exponent_Ohm1_class2
    - morphim_Phi
    - abelian_charsimple_special
    - FittingS
    - minnormal_charsimple
    - exponent_2extraspecial
    - Phi_quotient_id
    - extraspecial_structure
    - SCN_abelian
    - critical_p_stab_Aut
  - path: mathcomp/field/falgebra.v
    theorems:
    - prodv_sub
    - agenvX
    - vsval_invr
    - memv_adjoin
    - id_is_ahom
    - prodvSr
    - memv_algid
    - expv_line
    - adim1P
    - adjoinSl
    - ker_sub_ahom_is_aspace
    - centraliser_is_aspace
    - prod1v
    - adjoin_seqSl
    - FalgType_proper
    - agenvS
    - agenvE
    - subvs_mulDr
    - skew_field_algid1
    - agenvM
    - adjoin_seq1
    - aimg_adjoin_seq
    - prodv1
    - aimgM
    - lfun_mulE
    - adjoin_seqSr
    - prodvS
    - subvs_mul1
    - adjoin_nil
    - dim_cosetv_unit
    - sub_agenv
    - unitrP
    - expv_id
    - mulVr
    - amull1
    - aspacef_subproof
    - algid_eq1
    - prodv0
    - expv2
    - Falgebra_FieldMixin
    - subvs_scaleAr
    - amulr_inj
    - prodvDl
    - skew_field_dimS
    - centv1
    - aimgX
    - aspace1_subproof
    - cent1v1
    - agenvEr
    - not_asubv0
    - amulr_is_linear
    - regular_fullv
    - lfun_invr_out
    - memvM
    - limg_amulr
    - unitr_algid1
    - prodv_line
    - prodvP
    - dim_algid
    - centraliser1_is_aspace
    - adim_gt0
    - subvs_mu1l
    - algid_neq0
    - memvV
    - amE
    - aimg_agen
    - asubv
    - aspace_cap_subproof
    - lker0_amulr
    - skew_field_module_semisimple
    - divrr
    - subv_adjoin
    - centv_algid
    - algidl
    - expv0n
    - expvD
    - amullM
    - has_algid1
    - cent1v_id
    - agenv_modl
    - prodvSl
    - centvP
    - prod0v
    - expvS
    - subvs_mulA
    - prodv_id
    - lfun_compE
    - vbasis1
    - subv_cent1
    - linfun_is_ahom
    - amull_inj
    - cent1vC
    - algid_subproof
    - centvsP
    - polyOver1P
    - expvSr
    - subvs_scaleAl
    - adjoinC
    - aimg_adjoin
    - cent1vX
    - agenv_modr
    - skew_field_module_dimS
    - ahomWin
    - agenv_is_aspace
    - memv_mul
    - lfun_unitrP
    - prodvA
    - lker0_amull
    - agenv_id
    - amulr_is_multiplicative
    - algid_center
    - subvP_adjoin
    - lfun1_poly
    - vsval_unitr
    - ahomP
    - subvs_mulDl
    - comp_is_ahom
    - expvSl
    - invr_out
    - lfun_mulrV
    - agenv_sub_modr
    - adjoin_rcons
    - seqv_sub_adjoin
    - subv_adjoin_seq
    - has_algidP
    - centvC
    - dim_prodv
    - ahom_is_multiplicative
    - ahom_inP
    - vspace1_neq0
    - dimv1
    - centvX
    - agenvEl
    - agenv_add_id
    - expv1
    - expvM
    - memv_cosetP
    - aimg1
    - prodv_key
    - algid_decidable
    - lfun_mulVr
    - cent1vP
  - path: mathcomp/algebra/mxpoly.v
    theorems:
    - geigenspaceE
    - eigenpoly_map
    - codiagonalizable1
    - sub_kermxpoly_conjmx
    - eigenvalue_conjmx
    - mxminpoly_linear_is_scalar
    - submx_form_qf
    - integral_root
    - kermxpolyX
    - integral_nat
    - degree_mxminpoly_proof
    - nth_row_env
    - mx_root_minpoly
    - resultant_eq0
    - char_poly_monic
    - diagonalizablePeigen
    - horner_rVpolyK
    - conjmx_scalar
    - conjmxK
    - map_resultant
    - integral_add
    - size_mod_mxminpoly
    - rVpolyK
    - mxminpoly_conj
    - diagonalizableP
    - algebraic_sub
    - diagonalizable_for_sum
    - integral_sub
    - char_block_diag_mx
    - diagonalizable0
    - conj1mx
    - stablemx_restrict
    - sub_eigenspace_conjmx
    - mxdirect_sum_geigenspace
    - eval_col_mx
    - kermxpolyM
    - companion_map_poly
    - coef_rVpoly_ord
    - horner_mx_C
    - conjuMumx
    - integral_rmorph
    - map_geigenspace
    - size_seq_of_rV
    - Exists_rowP
    - integral0
    - mxminpoly_dvd_char
    - simmxP
    - minpoly_mx_free
    - eigenpolyP
    - mulmx_delta_companion
    - intR_XsubC
    - integral_horner_root
    - algebraic0
    - diagonalizable_diag
    - eval_mulmx
    - diagonalizable_for_mxminpoly
    - conjmx_eigenvalue
    - row'_col'_char_poly_mx
    - diagonalizable_scalar
    - conjMmx
    - size_char_poly
    - map_kermxpoly
    - horner_mx_conj
    - algebraic_div
    - mxminpoly_min
    - poly_rV_K
    - eigenvalue_root_min
    - kermxpolyC
    - comm_horner_mx
    - companionmxK
    - integral_opp
    - horner_mx_mem
    - comm_mx_stable_kermxpoly
    - codiagonalizable_on
    - root_mxminpoly
    - integral_div
    - size_diagA
    - minpoly_mx_ring
    - mxminpoly_uconj
    - algebraic_opp
    - algebraic_id
    - codiagonalizablePfull
    - mx_poly_ring_isom
    - map_rVpoly
    - integral1
    - size_mxminpoly
    - mxminpoly_map
    - horner_mx_stable
    - comm_mx_stable_geigenspace
    - integral_inv
    - map_powers_mx
    - integral_mul
    - integral_root_monic
    - eigenspace_sub_geigen
    - conjMumx
    - comm_mx_horner
    - rVpoly_delta
    - stablemx_comp
    - eval_row_var
    - minpoly_mx1
    - char_poly_trig
    - eval_mxrank
    - eigenvalue_poly
    - char_poly_det
    - poly_rV_is_linear
    - algebraic_mul
    - diagonalizable_for_row_base
    - mxminpoly_monic
    - horner_mx_X
    - mxminpoly_minP
    - simmx_minpoly
    - conjuMmx
    - integral_poly
    - map_mx_inv_horner
    - Cayley_Hamilton
    - integral_id
    - diagonalizable_forPp
    - eigenpoly_conjmx
    - degree_mxminpoly_map
    - mxminpoly_nonconstant
    - eval_vec_mx
    - conjVmx
    - Sylvester_mxE
    - kermxpoly_prod
    - mxdirect_kermxpoly
    - mxminpoly_diag
    - simmxLR
    - eval_submx
    - conjmx0
    - kermxpoly_min
    - minpoly_mxM
    - integral_algebraic
    - nth_seq_of_rV
    - eigenvalue_root_char
    - mx_inv_hornerK
    - mxdirect_sum_kermx
    - map_poly_rV
    - horner_mx_uconj
    - eigenspace_poly
    - simmxPp
    - eval_mx_term
    - codiagonalizableP
    - horner_rVpoly
    - simmxRL
    - diagonalizable_forP
    - dvd_mxminpoly
    - diagonalizable_conj_diag
    - kermxpoly1
    - XsubC0
    - resultant_in_ideal
    - algebraic1
    - diagonalizable_forLR
    - mxrank_form_qf
    - horner_mxZ
    - horner_mxK
    - conjmxVK
  - path: mathcomp/field/closed_field.v
    theorems:
    - qf_cps_if
    - eval_amulXnT
    - rgdcop_recT_qf
    - holds_ex_elim
    - redivp_rec_loopP
    - rgcdp_loopT_qf
    - redivpTP
    - rgcdpTP
    - rgdcopTP
    - abstrX1
    - rgcdpTsP
    - rgcdpT_qf
    - rseq_poly_map
    - isnull_qf
    - rpoly_map_mul
    - rgdcop_recTP
    - redivp_rec_loopT_qf
    - sizeTP
    - abstrXP
    - holds_conjn
    - rsumpT
    - eval_poly_mulM
    - lead_coefTP
    - countable_algebraic_closure
    - rgdcopT_qf
    - redivp_rec_loopTP
    - eval_lift
    - ex_elim_seqP
    - ex_elim_seq_qf
    - eval_poly1
    - wf_ex_elim
    - redivpT_qf
    - eval_opppT
    - holds_conj
    - qf_simpl
    - eval_mulpT
    - isnullP
    - countable_field_extension
    - ramulXnT
    - rabstrX
    - lead_coefT_qf
    - rgcdpTs_qf
    - qf_cps_ret
    - abstrX_mulM
    - qf_cps_bind
    - eval_sumpT
    - rgcdp_loopP
    - sizeT_qf
    - eval_natmulpT
  - path: mathcomp/fingroup/automorphism.v
    theorems:
    - Aut_conj_aut
    - Aut_morphic
    - Aut_isomM
    - char_norm_trans
    - conj_isom
    - char_normal
    - Aut_aut
    - eq_Aut
    - im_Aut_isom
    - injm_char
    - im_autm
    - conj_autE
    - perm_in_inj
    - perm_inE
    - Aut_Aut_isom
    - Aut_isomP
    - char_injm
    - conj_aut_morphM
    - charI
    - morphim_conj
    - Aut_closed
    - autmE
    - imset_autE
    - perm_in_on
    - lone_subgroup_char
    - char_refl
    - char_norm
    - conjgmE
    - charP
    - Aut_isom_subproof
    - char_sub
    - injm_Aut_isom
    - morphim_fixP
    - char_norms
    - Aut1
    - preim_autE
    - ker_conj_aut
    - char_trans
    - injm_autm
    - charM
    - Aut_isomE
    - norm_conjg_im
    - out_Aut
    - norm_conj_isom
    - norm_conj_autE
    - char_normal_trans
    - aut_closed
    - conj_isog
  - path: mathcomp/ssreflect/fingraph.v
    theorems:
    - same_connect
    - order_gt0
    - finv_inv
    - fconnect_invariant
    - iter_findex
    - eq_n_comp_r
    - connect_closed
    - eq_fcard
    - predC_closed
    - eq_order_cycle
    - injectivePcycle
    - fconnect_cycle
    - fconnect1
    - fpath_finv_cycle
    - fpath_finv_in
    - size_orbit
    - finv_in
    - connect_cycle
    - connect_sub
    - fcycle_consEflatten
    - fcycle_consE
    - orbit_uniq
    - subset_dfs
    - same_fconnect_finv
    - fcard_id
    - connect_trans
    - rgraphK
    - eq_roots
    - fclosed1
    - order_finv
    - image_orbit
    - fconnect_finv
    - same_fconnect1
    - eq_n_comp
    - iter_finv_in
    - eq_root
    - orbit_id
    - closure_closed
    - fconnect_id
    - f_finv_in
    - eq_connect0
    - fcard_order_set
    - orbitPcycle
    - root_root
    - subset_closure
    - order_cycle
    - finv_inj_cycle
    - froots_id
    - prevE
    - connect1
    - looping_order
    - mem_orbit
    - fpath_f_finv_cycle
    - froot_id
    - finv_bij
    - finv_cycle
    - adjunction_closed
    - fpath_finv
    - undup_cycle_cons
    - intro_closed
    - cycle_orbit
    - connectP
    - fpath_finv_f_cycle
    - path_connect
    - fconnect_f
    - strict_adjunction
    - cycle_orbit_cycle
    - eq_fconnect
    - in_orbit_cycle
    - fcycleEflatten
    - fconnect_iter
    - root_connect
    - n_comp_connect
    - iter_order
    - finv_f_in
    - iter_order_cycle
    - n_comp_closure2
    - same_connect_r
    - same_connect1r
    - fconnect_findex
    - order_id_cycle
    - closed_connect
    - fcard_gt0P
    - dfsP
    - intro_adjunction
    - orbitE
    - fconnect_orbit
    - same_connect1
    - findex_eq0
    - n_compC
    - findex_max
    - connect_root
    - f_finv
    - finv_inj
    - orderPcycle
    - mem_closure
    - iter_finv_cycle
    - same_connect_rev
    - f_finv_cycle
    - fconnect_sym
    - eq_finv
    - findex_iter
    - iter_order_in
    - fconnect_eqVf
    - dfs_pathP
    - rootP
    - fcard_gt1P
    - in_orbit
    - order_le_cycle
    - eq_connect
    - fconnect_sym_in
    - same_fconnect1_r
    - finv_f
    - fpath_f_finv_in
    - fpath_finv_f_in
    - iter_finv
    - connect_rev
    - fcard_finv
    - fcycle_rconsE
    - orderSpred
  - path: mathcomp/algebra/ssrint.v
    theorems:
    - nmulrz_rlt0
    - exprz_pintl
    - mulr0z
    - distn_eq1
    - rpredMz
    - sgz_odd
    - ltr_piXz2l
    - ltr1z
    - ler_int
    - pmulrz_llt0
    - exprzD_ss
    - NegzE
    - distn_eq0
    - scalerMzr
    - lez_total
    - nonzero1z
    - mulzn_eq1
    - mulrz_le0
    - intr_norm
    - abszMsign
    - ltr_int
    - sgzX
    - ltr_nXz2r
    - expfz_eq0
    - abszN1
    - ler_pMz2l
    - ltr_pXz2r
    - mulrzAC
    - distnn
    - ltr0_sgz
    - oppzK
    - rmorphMz
    - mulr_absz
    - exprSzr
    - commr_int
    - intrV
    - fmorphXz
    - exprzMzl
    - PoszD
    - lerz0
    - mul2z
    - eqz_nat
    - subSz1
    - natr_absz
    - exprnP
    - ler_wpXz2r
    - pmulrz_lgt0
    - mulrbz
    - mulrz_nat
    - ltz1D
    - Frobenius_aut_int
    - mulrz_suml
    - rpredZint
    - realz
    - commrXz
    - nmulrz_rgt0
    - ffunMzE
    - rmorphXz
    - unitr_n0expz
    - derivMz
    - mulz_Nsign_abs
    - pexprz_eq1
    - is_intE
    - leqifD_distz
    - linearMn
    - abszM
    - normr_sgz
    - natz
    - sgz_le0
    - sgzP
    - ltNz_nat
    - ler_wpMz2l
    - sgz_smul
    - exprzD_Nnat
    - invz_out
    - absz_eq0
    - lez_abs
    - lez0_abs
    - expfz_neq0
    - mulr1z
    - nmulrz_lge0
    - horner_int
    - oppzD
    - distnEl
    - sgrMz
    - ler_niXz2l
    - commrMz
    - intr_sign
    - mulrz_int
    - mul0rz
    - invr_expz
    - raddfMz
    - mulNrNz
    - abszX
    - lez_anti
    - sgz_sgr
    - mulrzDr_tmp
    - gtz0_ge1
    - mulr2z
    - ltr_eXz2l
    - ler_wnXz2r
    - ler_wpiXz2l
    - is_natE
    - exprMz_comm
    - ltzD1
    - truncP
    - Znat_def
    - expfzMl
    - ler_nMz2r
    - intr_sg
    - ler_weXz2l
    - mulzA
    - mulrz_neq0
    - rmorphzP
    - distn0
    - mulz0
    - absz1
    - pexpIrz
    - ieexprIz
    - Frobenius_autMz
    - absz0
    - exprnN
    - mul0z
    - mulrzr
    - mulrz_le0_ge0
    - addNz
    - exprzMl
    - lez1D
    - exprz_pMzl
    - abszEsg
    - ltr_pMz2r
    - ler_eXz2l
    - distSn
    - lez_nat
    - intS
    - lez_mul
    - abszN
    - ltr_nMz2l
    - sgz_def
    - mulrzA_C
    - intmul1_is_multiplicative
    - pmulrz_rle0
    - nmulrz_lgt0
    - eqr_int
    - leqD_dist
    - ltzN_nat
    - rpredXz
    - expNrz
    - lerz1
    - lez_add
    - ler1z
    - ltz_nat
    - ltrz1
    - le0z_nat
    - sgz_eq0
    - unitrXz
    - eqrXz2
    - ler0z
    - scalezrE
    - distnS
    - nmulrz_rle0
    - addzC
    - mulrzz
    - ltr0z
    - polyCMz
    - mulNrz
    - unitzPl
    - mulrzAl
    - mulpz
    - intr_eq0
    - raddf_int_scalable
    - abszE
    - natsum_of_intK
    - PoszM
    - mulzC
    - normzN
    - sgz_gt0
    - mulz_sign_abs
    - absz_gt0
    - mulrz_ge0
    - exp1rz
    - sgrEz
    - mulrzBr
    - sgz_eq
    - sgz1
    - prodMz
    - nmulrn
    - nmulrz_llt0
    - sgz_cp0
    - mulz_addl
    - gez0_norm
    - distnC
    - exprN1
    - sumMz
    - intrM
    - mulNz
    - mulrz_ge0_le0
    - distnDl
    - pmulrz_lle0
    - normrMz
    - ler_wpMz2r
    - mulz_sg
    - expr0z
    - rpred_int
    - pmulrz_rgt0
    - sgz_ge0
    - intz
    - absz_sign
    - subz_ge0
    - commrXz_wmulls
    - int_rect
    - leNz_nat
    - intP
    - exprzDr
    - exprz_inv
    - scalerMzl
    - mulrNz
    - intEsg
    - mulrzBl
    - intrB
    - mulz_sg_eq1
    - ler_wniXz2l
    - ltr_nMz2r
    - sgzN
    - abszEsign
    - subzSS
    - lez0_nat
    - ZnatP
    - ltz0_abs
    - sgz_int
    - ler_nMz2l
    - ltr_niXz2l
    - ler_pXz2r
    - mulrzDl_tmp
    - mulzN
    - lezD1
    - mul1z
    - expfz_n0addr
    - mulrz_sumr
    - mulrzA
    - sgzM
    - expfzDr
    - nmulrz_rge0
    - idomain_axiomz
    - gtr0_sgz
    - sgrz
    - add1Pz
    - add0z
    - subzn
    - ler_wnMz2r
    - predn_int
    - mulVz
    - ler_wneXz2l
    - ltrz0
    - pmulrz_rge0
    - mulrIz
    - pmulrz_lge0
    - int_rect
    - ler_wpeXz2l
    - dist0n
    - mulrzl
    - intrD
    - expr1z
    - sgz_id
    - exprzAC
    - exprz_gt0
    - predn_int
    - intrN
    - ler_nXz2r
    - NegzE
    - expfV
    - nmulrz_lle0
    - ltz_def
    - gez0_abs
    - mulrzAr
    - addzA
    - exprzD_nat
    - mulz_sg_eqN1
    - absz_sg
    - sgz_lt0
    - normr_sg
    - ler_piXz2l
    - exprz_ge0
    - pmulrn
    - exprz_exp
    - sgz0
    - addPz
    - absz_nat
    - hornerMz
    - intEsign
    - rmorph_int
    - absz_id
    - lezN_nat
    - gtz0_abs
  - path: mathcomp/algebra/vector.v
    theorems:
    - vsof_sub
    - limg_line
    - capv_idPl
    - addvA
    - lfun_vect_iso
    - vsproj_key
    - cat_basis
    - limg_dim_eq
    - b2mxK
    - memv_span1
    - vsprojK
    - vs2mxI
    - span_lfunP
    - dimv_add_leqif
    - gen_vs2mx
    - lker0_compfK
    - lfun_img_key
    - eq_limg_ker0
    - add_lfunE
    - span_subvP
    - memv_cap
    - funmx_linear
    - memv0
    - vsvalK
    - comp_lfun0r
    - lpreimK
    - subv_anti
    - memvB
    - freeP
    - span_def
    - free_cons
    - lfun_key
    - lker0_compVKf
    - subvsP
    - mem0v
    - congr_subvs
    - mxof_comp
    - SubvsE
    - rVof_sub
    - diffvSl
    - capv_compl
    - coord_free
    - dimv_sum_leqif
    - memvN
    - lpreimS
    - mxof1
    - memv_line
    - comp_lfunDr
    - memvD
    - directv_addP
    - v2r_inj
    - fixedSpace_id
    - subv_sumP
    - comp_lfunNr
    - nil_free
    - limg_cap
    - dim_vline
    - sumv_pi_sum
    - fixedSpace_limg
    - limgE
    - coord_sum_free
    - basis_free
    - ffun_vect_iso
    - span_seq1
    - capfv
    - subvP
    - vecof_delta
    - addv_pi2_proj
    - msofK
    - basis_not0
    - span_key
    - subv0
    - lfun_scale1
    - hommxE
    - addv0
    - directv_sumE
    - basisEdim
    - subvv
    - coord_vbasis
    - vlineP
    - lker_proj
    - vecof_eq0
    - lfun_addA
    - addvS
    - capv_idPr
    - memvf
    - rVof_linear
    - vecof_linear
    - subvs_vect_iso
    - lker0_lfunK
    - addv_pi1_pi2
    - v2rK
    - capvv
    - dimv_cap_compl
    - coord_is_scalar
    - span_nil
    - directv_addE
    - mul_b2mx
    - memv_ker
    - lim1g
    - leigenspaceE
    - limgD
    - memv_suml
    - lfun_is_linear
    - vsof_eq0
    - mxof_eq0
    - projv_id
    - nil_basis
    - capv_diff
    - subvPn
    - sumv_pi_uniq_sum
    - basisEfree
    - dimv_leqif_eq
    - limg_span
    - comp_lfun1r
    - comp_lfunZl
    - scale_lfunE
    - hommx_linear
    - rVof_mul
    - vsproj_is_linear
    - span_b2mx
    - rVof_app
    - bigcat_basis
    - addvv
    - catr_free
    - lker0_compfVK
    - perm_free
    - dimvf
    - subvf
    - msof_sub
    - fixedSpacesP
    - vs2mxK
    - mx2vs_subproof
    - addv_diff_cap
    - subv_bigcapP
    - bigcat_free
    - addv_complf
    - vecof_mul
    - addvC
    - vs2mxF
    - dimvS
    - vs2mxD
    - addv_pi2_id
    - msof0
    - eqEdim
    - vs2mx0
    - free_b2mx
    - hommx_eq0
    - dimv_eq0
    - eq_in_limg
    - vspaceP
    - add0v
    - sum_lfunE
    - lkerE
    - comp_lfunZr
    - filter_free
    - directvP
    - hommxK
    - directvEgeq
    - subvs_inj
    - mxofK
    - span_cons
    - subv_trans
    - limg_ker_compl
    - limg_ker0
    - vs2mx_sum_expr_subproof
    - comp_lfunA
    - vsolve_eqP
    - vspace_modl
    - bigcapv_inf
    - memv_sumP
    - lker0_limgf
    - matrix_vect_iso
    - directv_trivial
    - sub_vsof
    - lpreim0
    - directv_add_unique
    - projv_proj
    - limg_basis_of
    - daddv_pi_id
    - vbasis_mem
    - memv_projC
    - comp_lfun1l
    - free_uniq
    - lker_ker
    - opp_lfunE
    - inv_lfun_def
    - binary_addv_subproof
    - lpreim_cap_limg
    - limg_sum
    - subv_cap
    - vecofK
    - subv_add
    - size_basis
    - mxof_linear
    - eqEsubv
    - nary_addv_subproof
    - memv_sumr
    - lim0g
    - lfun_scaleDr
    - sub0v
    - sumfv
    - memv_pi2
    - rVof_eq0
    - lfun1_neq0
    - lker0_lfunVK
    - addv_idPl
    - directv_sum_unique
    - addv_diff
    - pair_vect_iso
    - limgS
    - capvf
    - coord_vecof
    - capvSr
    - limg_lfunVK
    - memv_sum_pi
    - id_lfunE
    - lfun_scaleA
    - basis_mem
    - coord_rVof
    - memv_span
    - r2v_inj
    - vpick0
    - rVofK
    - memv_proj
    - dimv_leqif_sup
    - memv_addP
    - addvSr
    - sumv_pi_nat_sum
    - linear_of_free
    - r2vK
    - limg_ker_dim
    - daddv_pi_proj
    - free_not0
    - memv_submod_closed
    - lfunE
    - lker0_compKf
    - vbasisP
    - lfun_add0
    - capvC
    - hom_vecof
    - directv_sum_independent
    - sub_msof
    - dimv_disjoint_sum
    - vsof0
    - mem_vecof
    - memvZ
    - cap0v
    - r2v_subproof
    - limg_proj
    - free_directv
    - directv_sumP
    - capv0
    - addv_pi1_proj
    - memv_preim
    - subset_limgP
    - dimv_compl
    - comp_lfunE
    - rVofE
    - memv_img
    - addvSl
    - coord_basis
    - lker0_compVf
    - fullv_lfunP
    - regular_vect_iso
    - coord0
    - dimv_sum_cap
    - directvE
    - memv_pi
    - addvf
    - limg0
    - fixedSpaceP
    - dim_matrix
    - memvE
    - lfun_scaleDl
    - lfunPn
    - lin_b2mx
    - v2r_subproof
    - addv_idPr
    - capvS
    - memv_pi1
    - limg_bigcap
    - eq_span
    - hommx_mul
    - vsval_is_linear
    - coord_span
    - row_b2mx
    - catl_free
    - vsofK
    - memv_imgP
    - lker0P
    - limg_comp
    - eqlfun_inP
    - msof_eq0
    - eqlfunP
    - perm_basis
    - dimv_leq_sum
    - freeE
    - mx2vsK
    - diffv_eq0
    - mem_r2v
    - lker0_img_cap
    - freeNE
    - memv_pick
    - span_cat
    - daddv_pi_add
  - path: mathcomp/ssreflect/path.v
    theorems:
    - suffix_sorted
    - e'_e
    - eq_in_path
    - undup_sorted
    - cycle_path
    - homo_sorted_in
    - homo_path_in
    - all_sort
    - mem2_map
    - sort_stable_in
    - cycle_from_next
    - order_path_min_in
    - filter_sort
    - nextE
    - loopingP
    - mono_cycle_in
    - sub_in_cycle
    - merge_uniq
    - path_relI
    - take_sorted
    - map_merge
    - perm_sort_inP
    - pop_stable
    - size_traject
    - sorted_leq_nth
    - cat_path
    - merge_stable_sorted
    - rcons_path
    - e_e'
    - take_traject
    - sorted_mask_in
    - inj_cycle
    - cycle_from_prev
    - right_arc
    - sort_pairwise_stable
    - mem2_last
    - sub_in_path
    - perm_sortP
    - subseq_sorted
    - count_sort
    - sorted_filter
    - homo_path
    - sub_in_sorted
    - mem_next
    - mem2_seq1
    - subseq_sort_in
    - homo_sort_map_in
    - eq_in_cycle
    - nth_traject
    - rev_path
    - mem_fcycle
    - leElex
    - path_filter_in
    - next_prev
    - mem_sort
    - sorted_ltn_nth_in
    - mem2_cat
    - mono_sorted
    - next_nth
    - merge_path
    - all_merge
    - path_mask_in
    - homo_sorted
    - prefix_sorted
    - ucycle_uniq
    - path_sorted
    - looping_uniq
    - sort_map
    - rev_sorted
    - mem_prev
    - mono_path
    - path_le
    - irr_sorted_eq
    - homo_cycle_in
    - homo_cycle
    - eq_cycle
    - leT_tr'
    - infix_sorted
    - prev_nth
    - cycle_map
    - pathP
    - sorted_mask_sort_in
    - prev_rot
    - sort_uniq
    - eq_in_sorted
    - perm_sort
    - perm_iota_sort
    - sorted_uniq
    - sorted_sort_in
    - mono_sorted_in
    - ucycle_cycle
    - pairwise_sorted
    - subseq_sort
    - sortedP
    - map_sort
    - merge_sorted
    - mem2r
    - path_pairwise
    - size_sort
    - cycle_catC
    - sub_path
    - path_filter
    - undup_path
    - pairwise_sort
    - rot_cycle
    - splitP
    - cat_sorted2
    - prev_rev
    - prev_next
    - merge_map
    - fpath_traject
    - traject_iteri
    - eq_path
    - sort_sorted
    - count_merge
    - mono_cycle
    - sorted_ltn_index
    - mem2_splice1
    - size_merge
    - sort_sorted_in
    - path_sortedE
    - prev_map
    - path_map
    - subseq_path_in
    - sorted_filter_in
    - sorted_uniq_in
    - path_sorted_inE
    - size_merge_sort_push
    - sorted_relI
    - sorted_merge
    - fpathE
    - sorted_leq_nth_in
    - eq_fcycle
    - sorted_subseq_sort
    - mask_sort_in
    - merge_stable_path
    - cycle_all2rel
    - irr_sorted_eq_in
    - next_cycle
    - subseq_sorted_in
    - mem2_sort
    - mem2lf
    - mono_path_in
    - sorted_pairwise_in
    - eq_count_merge
    - next_rev
    - sorted_leq_index_in
    - next_rotr
    - mem2_cons
    - mem2l_cat
    - last_traject
    - prefix_path
    - mask_sort
    - trajectSr
    - trajectP
    - path_pairwise_in
    - fpathP
    - sub_cycle
    - left_arc
    - sorted_leq_index
    - mergeA
    - path_mask
    - splitPl
    - sort_iota_stable
    - sorted_ltn_nth
    - cycle_all2rel_in
    - next_rot
    - mem2l
    - sorted_eq
    - eq_sorted
    - sortE
    - iota_ltn_sorted
    - mem2_splice
    - sub_sorted
    - rot_ucycle
    - sorted_pairwise
    - cycle_next
    - order_path_min
    - next_map
    - sorted_mask_sort
    - ltn_sorted_uniq_leq
    - filter_sort_in
    - sorted_mask
    - push_stable
    - rev_cycle
    - trajectD
    - mem2_sort_in
    - prev_cycle
  - path: mathcomp/field/finfield.v
    theorems:
    - finDomain_mulrC
    - card_finField_unit
    - order_primeChar
    - card_finCharP
    - finField_galois_generator
    - primeChar_scaleDl
    - natrFp
    - Fermat's_little_theorem
    - finField_galois
    - primeChar_dimf
    - lregR
    - ffT_splitting_subproof
    - galLgen
    - expf_card
    - finRing_gt1
    - card_primeChar
    - card_vspacef
    - card_vspace
    - primeChar_scaleDr
    - finField_is_abelem
    - primeChar_pgroup
    - pr_p
    - FinSplittingFieldFor
    - card_vspace1
    - finField_genPoly
    - primeChar_vectAxiom
    - PrimePowerField
    - galL
    - primeChar_scaleAr
    - primeChar_scaleA
    - finDomain_field
    - finCharP
  - path: mathcomp/solvable/gseries.v
    theorems:
    - quotient_subnormal
    - subnormalP
    - quotient_simple
    - normal_subnormal
    - subnormalEsupport
    - setI_subnormal
    - cosetpre_maximal
    - isog_simple
    - invariant_subnormal
    - maximal_exists
    - maxnormal_minnormal
    - maximalJ
    - mulg_normal_maximal
    - subnormal_refl
    - subnormal_trans
    - central_central_factor
    - cosetpre_maximal_eq
    - injm_maxnormal
    - maxnormal_normal
    - simple_maxnormal
    - chief_series_exists
    - maxnormal_sub
    - quotient_maximal_eq
    - injm_minnormal
    - subnormal_sub
    - path_setIgr
    - morphim_subnormal
    - injm_maximal_eq
    - maximal_eqP
    - subnormalEl
    - chief_factor_minnormal
    - maxnormalM
    - central_factor_central
    - injm_maximal
    - ex_maxnormal_ntrivg
    - maxnormal_proper
    - acts_irrQ
  - path: mathcomp/algebra/zmodp.v
    theorems:
    - Fp_nat_mod
    - add_1_Zp
    - char_Fp_0
    - Zp_addC
    - unitZpE
    - Fp_fieldMixin
    - add_N1_Zp
    - Zp_nat
    - Zp1_expgz
    - rshift1
    - card_Fp
    - card_Zp
    - Zp_nontrivial
    - Zp_mul1z
    - val_Fp_nat
    - valZpK
    - split1
    - order_Zp1
    - Zp_inv_out
    - Zp_addA
    - Zp_intro_unit
    - natr_Zp
    - Zp_cycle
    - char_Zp
    - Zp_mulA
    - Zp_mul_addl
    - Zp_mul_addr
    - modZp
    - unitFpE
    - Zp_mulz1
    - card_units_Zp
    - unit_Zp_expg
    - Zp_expg
    - units_Zp_abelian
    - Zp_add0z
    - Zp_mulgC
    - add_Zp_1
    - Zp_mulrn
    - Zp_mulC
    - lshift0
    - Zp_nat_mod
    - val_Zp_nat
    - char_Fp
    - Zp_cast
    - Zp_mulzV
    - mem_Zp
    - ord1
    - Zp_addNz
    - natr_negZp
  - path: mathcomp/character/integral_char.v
    theorems:
    - mxZn_inj
    - Burnside_p_a_q_b
    - group_num_field_exists
    - faithful_degree_p_part
    - gring_class_sum_central
    - gring_classM_coef_sum_eq
    - nonlinear_irr_vanish
    - gring_mode_class_sum_eq
    - Aint_char
    - mx_irr_gring_op_center_scalar
    - index_support_dvd_degree
    - dvd_irr1_index_center
    - Aint_irr
    - gring_classM_expansion
    - Aint_gring_mode_class_sum
    - coprime_degree_support_cfcenter
    - sum_norm2_char_generators
    - set_gring_classM_coef
    - cfRepr_gring_center
    - gring_irr_modeM
    - Aint_class_div_irr1
    - dvd_irr1_cardG
    - primes_class_simple_gt1
  - path: mathcomp/ssreflect/prime.v
    theorems:
    - mem_primes
    - logn_gt0
    - primeNsig
    - pfactorKpdiv
    - sub_in_partn
    - up_log_gt0
    - partnC
    - prime_nt_dvdP
    - primePns
    - pdiv_gt0
    - partn_lcm
    - dvdn_partP
    - ltn_log0
    - primeP
    - up_logMp
    - ltn_logl
    - Euclid_dvdM
    - pfactor_gt0
    - max_pdiv_dvd
    - partn1
    - elogn2P
    - pdiv_leq
    - trunc_log_eq
    - Euclid_dvdX
    - p_natP
    - up_log_min
    - totient_pfactor
    - partn0
    - p'natEpi
    - Euclid_dvd1
    - trunc_log1
    - pi_pnat
    - partn_biggcd
    - pi_pdiv
    - logn_count_dvd
    - primes_part
    - p_part_eq1
    - logn_lcm
    - pi_p'nat
    - pnat_div
    - eq_partn_from_log
    - up_log_eq0
    - up_log_bounds
    - odd_prime_gt2
    - part_p'nat
    - pnat_pi
    - sub_pnat_coprime
    - pi_of_dvd
    - pnatX
    - sorted_divisors_ltn
    - ifnzP
    - sorted_primes
    - p'natE
    - prime_oddPn
    - p'nat_coprime
    - prime_decompE
    - logn_prime
    - primes_prime
    - pnatI
    - filter_pi_of
    - up_log_trunc_log
    - prime_gt0
    - coprime_has_primes
    - pfactorK
    - eq_in_pnat
    - divisors_uniq
    - widen_partn
    - mem_prime_decomp
    - logn_coprime
    - part_pnat_id
    - part_gt0
    - eq_partn
    - trunc_expnK
    - trunc_log1n
    - all_prime_primes
    - primesM
    - trunc_logMp
    - eq_negn
    - pi'_p'nat
    - pi_max_pdiv
    - coprime_pi'
    - pdiv_dvd
    - divisors_correct
    - trunc_lognn
    - dvdn_pfactor
    - totientE
    - pi_of_exp
    - leq_trunc_log
    - up_expnK
    - up_log0
    - prime_coprime
    - up_log2S
    - logn0
    - trunc_log_gt0
    - logn_part
    - dvdn_sum
    - p_part_gt1
    - partnM
    - coprime_partC
    - pnat_1
    - pfactor_dvdn
    - logn_gcd
    - primePn
    - modn_partP
    - max_pdiv_prime
    - pnatPpi
    - logn1
    - max_pdiv_gt0
    - pnat_dvd
    - p_part
    - up_lognn
    - prime_above
    - max_pdiv_max
    - negnK
    - lognE
    - trunc_log_eq0
    - prime_gt1
    - pnatNK
    - partn_eq1
    - pi_ofM
    - trunc_log0n
    - partnNK
    - pnatE
    - prime_decomp_correct
    - up_log_gtn
    - trunc_log2_double
    - partn_gcd
    - up_log_eq
    - trunc_log0
    - trunc_log2S
    - dvdn_part
    - edivn2P
    - divisor1
    - odd_2'nat
    - pnat_coprime
    - pdivP
    - primes_eq0
    - primes_uniq
    - trunc_log_bounds
    - even_prime
    - eqn_from_log
    - leq_up_log
    - eq_pnat
    - pnatP
    - partn_dvd
    - pi_of_part
    - lognX
    - pnat_id
    - eq_piP
    - pdiv_prime
    - divisors_id
    - pfactor_coprime
    - partnT
    - ltn_pdiv2_prime
    - up_log1
    - pi_of_prime
    - sub_in_pnat
    - totient_coprime
    - up_logP
    - eq_primes
    - sorted_divisors
    - partn_pi
    - partnI
    - partn_biglcm
    - totient_gt1
    - dvdn_leq_log
    - trunc_log_max
    - prod_prime_decomp
    - logn_Gauss
    - totient_gt0
    - pdiv_min_dvd
    - pfactor_dvdnn
    - part_pnat
    - dvdn_divisors
  - path: mathcomp/character/mxabelem.v
    theorems:
    - rVabelemN
    - GLmx_faithful
    - mx_group_homocyclic
    - rowg_mxS
    - faithful_repr_extraspecial
    - abelem_mx_faithful
    - GL_mx_repr
    - abelem_rV_S
    - abelem_rV_X
    - rstabs_abelem
    - pcore_faithful_mx_irr
    - comp_reprGLm
    - rowg_mx1
    - im_abelem_rV
    - rfix_pgroup_char
    - scale_actE
    - abelian_type_mx_group
    - card_rowg
    - rVabelem_minj
    - astab_rowg_repr
    - rVabelemD
    - mxsimple_abelemP
    - mxrank_rowg
    - sub_rVabelem
    - abelem_rV_V
    - exponent_mx_group
    - mx_repr_is_groupAction
    - abelem_rV_injm
    - rowg_mx_eq0
    - pcore_sub_rstab_mxsimple
    - eq_rowg
    - card_rVabelem
    - abelem_mx_irrP
    - val_reprGLm
    - rowgS
    - rker_abelem
    - rVabelem_injm
    - im_rVabelem
    - rfix_abelem
    - rVabelem0
    - mxmodule_abelem_subg
    - rowg0
    - rowg_stable
    - afix_repr
    - astab_setT_repr
    - scale_is_groupAction
    - abelem_rV_isom
    - mxsimple_abelem_subg
    - p_pr
    - gacent_repr
    - mx_repr_is_action
    - abelem_rV_K
    - dim_abelemE
    - extraspecial_repr_structure
    - rowgI
    - eq_abelem_subg_repr
    - rVabelemK
    - mx_Fp_stable
    - abelem_rV_inj
    - dprod_rowg
    - astab1_scale_act
    - mx_Fp_abelem
    - stable_rowg_mxK
    - card_abelem_rV
    - rowgK
    - abelem_rV_M
    - mx_repr_actE
    - rowg_mxSK
    - rVabelem_inj
    - abelem_rV_1
    - abelem_rowgJ
    - reprGLmM
    - sub_abelem_rV_im
    - bigdprod_rowg
    - mxmodule_abelemG
    - abelem_mx_linear_proof
    - rVabelem_mK
    - rVabelemS
    - sub_rVabelem_im
    - cprod_rowg
    - rowgD
    - mem_rowg
    - rsim_abelem_subg
    - mxmodule_abelem
    - mxsimple_abelemGP
    - trivg_rowg
    - abelem_rV_J
    - sub_im_abelem_rV
    - isog_abelem_rV
    - modIp'
    - abelem_mx_repr
    - ker_reprGLm
    - abelem_rV_mK
    - bigcprod_rowg
    - pcore_sub_rker_mx_irr
    - rstab_abelem
    - acts_rowg
    - mem_rVabelem
    - rstabs_abelemG
    - rank_mx_group
    - rVabelemJ
    - mem_im_abelem_rV
    - rowg_mxK
    - scale_is_action
    - rV_abelem_sJ
    - rVabelemZ
  - path: mathcomp/character/vcharacter.v
    theorems:
    - zchar_split
    - zchar_onS
    - dirr_constt_oppr
    - dirr_dchi
    - dirr_norm1
    - cfnorm_map_orthonormal
    - irr_constt_to_dirr
    - Aint_vchar
    - cfdot_sum_orthonormal
    - Z_S
    - ndirr_inj
    - Zisometry_of_cfnorm
    - dirr_opp
    - cfdot_dirr_eq1
    - mul_vchar
    - char_vchar
    - isometry_in_zchar
    - vchar_mulr_closed
    - zchar_trans
    - zchar_small_norm
    - notS0
    - cfdot_add_dirr_eq1
    - cfdot_dirr
    - ndirrK
    - dchi_ndirrE
    - cfnorm_orthonormal
    - sub_aut_zchar
    - dirr_dIirrE
    - cnorm_dconstt
    - dirr_constt_oppl
    - zcharW
    - dIrrP
    - cfInd_vchar
    - Cnat_cfnorm_vchar
    - dirrP
    - cfdot_sum_orthogonal
    - zchar_on
    - cfproj_sum_orthonormal
    - zcharD1
    - Zchar_zmod
    - cfnorm_sum_orthogonal
    - dchi_vchar
    - cfnorm_sum_orthonormal
    - zchar_tuple_expansion
    - zchar_nth_expansion
    - map_pairwise_orthogonal
    - cfdot_dchi
    - dirr_constt_oppI
    - zchar_filter
    - zchar_span
    - orthonormal_span
    - Cnat_dirr
    - dirr_small_norm
    - dirrE
    - cfAut_vchar
    - cfRes_vchar
    - scale_zchar
    - vchar_norm1P
    - Zisometry_inj
    - vchar_aut
    - cfdot_sum_dchi
    - conjC_vcharAut
    - zchar_subseq
    - cfproj_sum_orthogonal
    - dirr_aut
    - support_zchar
    - dirr_consttE
    - zchar_onG
    - dirr_sign
    - Zisometry_of_iso
    - dirr_dIirrPE
    - cfdot_vchar_r
    - mem_zchar_on
    - cfun0_zchar
    - irr_dirr
    - sub_conjC_vchar
    - Frobenius_kernel_exists
    - dchi1
    - map_orthonormal
    - vchar_orthonormalP
    - dirr_oppr_closed
    - ndirr_diff
    - irr_vchar
    - cfun_sum_dconstt
    - cfRes_vchar_on
    - cfAut_zchar
    - zchar_trans_on
    - cfdot_todirrE
    - Cint_cfdot_vchar_irr
    - of_irrK
    - to_dirrK
    - cfdot_aut_vchar
    - Cint_cfdot_vchar
    - nS1
    - Cint_vchar1
    - zchar_sub_irr
    - zchar_expansion
    - cfnorm_orthogonal
    - irr_vchar_on
  - path: mathcomp/solvable/burnside_app.v
    theorems:
    - R50_inj
    - F_Sv
    - F_r034
    - Fid3
    - is_isoP
    - r41_inv
    - F_r32
    - dir_s0p
    - burnside_app_iso_2_4col
    - card_Fid
    - F_s6
    - r14_inv
    - act_f_morph
    - F_r012
    - act_g_morph
    - group_set_iso3
    - F_r013
    - card_n4
    - iso_eq_F0_F1_F2
    - R021_inj
    - rot_eq_c0
    - s14
    - sd2_inv
    - iso0_1
    - R32_inj
    - Lcorrect
    - card_n
    - burnside_app_rot
    - prod_t_correct
    - ecubes_def
    - r3_inv
    - S2_inv
    - F_r021
    - rot_is_rot
    - F_Sh
    - card_Fid3
    - isometries_iso
    - r2_inv
    - F_r05
    - burnside_app_iso
    - sd1_inv
    - act_g_1
    - s23_inv
    - R043_inj
    - R042_inj
    - R1_inj
    - group_set_diso3
    - R14_inj
    - R013_inj
    - Sh_inj
    - F_r3
    - card_n3s
    - S5_inv
    - R2_inj
    - R024_inj
    - Sv_inj
    - card_n2
    - group_set_iso
    - r1_inv
    - r50_inv
    - F_s05
    - eqperm
    - S0_inv
    - S14_inj
    - sop_inj
    - R012_inj
    - group_set_rot
    - sop_spec
    - Sd2_inj
    - burnside_app2
    - F_r14
    - R031_inj
    - card_n2_3
    - sv_inv
    - F_r042
    - iso3_ndir
    - seqs1
    - F_r41
    - rotations_is_rot
    - group_set_iso2
    - F_r23
    - F_Sd2
    - F_Sd1
    - iso_eq_F0_F1
    - act_f_1
    - F_s1
    - F_s2
    - F_r2
    - F_s5
    - card_n3_3
    - L_iso
    - stable
    - group_set_rotations
    - F_r024
    - dir_iso_iso3
    - R23_inj
    - S4_inv
    - uniq4_uniq6
    - R41_inj
    - S6_inv
    - R3_inj
    - R05_inj
    - F_r031
    - card_n3
    - burnside_app_iso_3_3col
    - F_s4
    - eqperm_map
    - F_r043
    - F_s3
    - F_r1
    - R034_inj
    - Fid
    - gen_diso3
    - ndir_s0p
    - is_iso3P
    - burnside_app_iso3
    - card_rot
    - F_r50
    - card_iso2
    - diff_id_sh
    - F_s14
    - ord_enum4
    - burnside_formula
    - sop_morph
  - path: mathcomp/algebra/finalg.v
    theorems:
    - unit_is_groupAction
    - mulrV
    - unit_actE
    - zmod_mulgC
    - val_unitV
    - zmodXgE
    - zmodVgE
    - invr_out
    - mulVr
    - unit_mul_proof
    - unit_mul1u
    - unit_muluA
    - decidable
    - card_finRing_gt1
    - card_finField_unit
    - zmod1gE
    - val_unit1
    - intro_unit
    - val_unitX
    - val_unitM
    - unit_mulVu
    - zmodMgE
  - path: mathcomp/ssreflect/binomial.v
    theorems:
    - bin2_sum
    - binS
    - fermat_little
    - card_partial_ord_partitions
    - ffact_small
    - cards_draws
    - bin_gt0
    - bin0
    - bin_sub
    - binSn
    - ffactnS
    - bin2
    - bin_ffact
    - bin1
    - prime_modn_expSn
    - leq_bin2l
    - bin_small
    - mul_bin_left
    - prime_dvd_bin
    - ffact_factd
    - binn
    - modn_summ
    - predn_exp
    - bin2odd
    - Wilson
    - dvdn_pred_predX
    - card_uniq_tuples
    - mul_bin_down
    - subn_exp
    - ffactE
    - ffact_fact
    - bin_ffactd
    - card_ltn_sorted_tuples
    - expnDn
    - logn_fact
    - card_sorted_tuples
    - card_ord_partitions
    - ffactn1
    - ffact0n
    - ffactnn
    - Vandermonde
    - binE
    - bin0n
    - card_inj_ffuns
    - ffact_prod
    - ffactn0
    - bin_fact
    - card_inj_ffuns_on
    - card_draws
    - fact_prod
    - mul_bin_diag
  - path: mathcomp/ssreflect/div.v
    theorems:
    - dvdn_lcm
    - divnMA
    - lcmnAC
    - gcdnMDl
    - lcmn_gt0
    - divn1
    - divn0
    - edivnB
    - modn1
    - divnK
    - chinese_modr
    - divnn
    - modnMDl
    - dvdn1
    - modnDmr
    - coprime_dvdl
    - gcdn_gt0
    - modn0
    - dvdnn
    - gcdnMr
    - dvdnP
    - modnDml
    - divn2
    - coprimen1
    - leq_div2r
    - divnDl
    - modn_small
    - dvd1n
    - gcdnC
    - divnAC
    - dvdn_add_eq
    - dvdn_addr
    - edivn_pred
    - leq_mod
    - gcdn_idPl
    - modnD
    - egcd0n
    - edivn_eq
    - gcdnDl
    - divn_gt0
    - Bezoutl
    - gcdnAC
    - ltn_ceil
    - Gauss_dvdl
    - modn_pred
    - dvdn_mull
    - lcmnMl
    - dvdn_exp2r
    - dvdn_gcd
    - leq_div
    - coprimeXl
    - gcdnDr
    - gcdn_modr
    - Gauss_dvd
    - gcdnA
    - dvdn_exp
    - modnMl
    - dvdn_gcdr
    - gcdn0
    - divn_eq
    - chinese_modl
    - ltn_divRL
    - divnDMl
    - coprimeXr
    - modnDl
    - gcdnCA
    - divnB
    - dvdn_addl
    - coprime_pexpr
    - coprimen2
    - mulKn
    - modn2
    - dvdn_pexp2r
    - gcdnACA
    - dvdn_gcdl
    - gcd1n
    - coprime_modr
    - lcmn_idPr
    - Gauss_gcdl
    - ltn_Pdiv
    - modnS
    - lcmn_idPl
    - leq_divDl
    - dvdn_add
    - gcdn_idPr
    - leqDmod
    - dvd0n
    - expnB
    - dvdn_pmul2l
    - divnMBl
    - lcmnCA
    - dvdn_Pexp2l
    - mod0n
    - dvdn_subl
    - geq_divBl
    - eqn_modDr
    - muln_lcm_gcd
    - coprimeP
    - coprime_dvdr
    - modn_mod
    - divn_modl
    - coprimenS
    - edivnS
    - modn_def
    - dvdn_mul
    - dvdn_fact
    - modnMml
    - coprimeMl
    - gcdn_def
    - dvdn_odd
    - divnMr
    - coprimeMr
    - expn_max
    - muln_gcdr
    - coprimeSn
    - divn_pred
    - dvdn_double_leq
    - muln_divCA
    - lcmnA
    - modn_coprime
    - muln_modr
    - dvdn_exp2l
    - lcmnACA
    - coprime1n
    - gcdnE
    - modnMr
    - edivn_def
    - divn_small
    - dvdn_pmul2r
    - lcmn1
    - divnA
    - leq_divLR
    - dvdn_div
    - dvdn_divRL
    - muln_divA
    - edivnD
    - egcdnP
    - eqn_mul
    - coprimenP
    - modnDr
    - dvdn_gt0
    - modnMm
    - gcd0n
    - gcdn_modl
    - leq_div2l
    - coprime_modl
    - coprime2n
    - odd_mod
    - divnDr
    - modnn
    - dvdn_double_ltn
    - lcmnMr
    - divnMl
    - divnD
    - lcm0n
    - muln_divCA_gcd
    - ltn_pmod
    - muln_lcmr
    - Gauss_gcdr
    - divn_mulAC
    - muln_gcdl
    - muln_modl
    - Bezoutr
    - divnBMl
    - lcmn0
    - gtnNdvd
    - expn_min
    - dvdn_leq
    - gcdnMl
    - eqn_dvd
    - lcm1n
    - chinese_mod
    - dvdn2
    - chinese_remainder
    - modnDm
    - dvdn_trans
    - modn_divl
    - ltn_divLR
    - div0n
    - muln_lcml
    - coprimePn
    - coprime_egcdn
    - ltn_mod
    - dvdn_divLR
    - Gauss_dvdr
    - dvdn_mulr
    - divnBl
    - mulnK
    - gcdnn
    - divnS
    - gcdn1
    - divnMDl
  - path: mathcomp/algebra/interval.v
    theorems:
    - mem0_itvoo_xNx
    - mid_in_itvcc
    - BInfty_leE
    - le_bound_refl
    - itv_bound_can
    - BRight_BLeft_leE
    - itv_splitI
    - oppr_itvcc
    - subset_itv
    - itv_meetA
    - bound_lex1
    - subitvPl
    - subitvP
    - BLeft_ltE
    - BInfty_le_eqE
    - miditv_ge_right
    - itv_splitU
    - BLeft_BRight_ltE
    - BInfty_BInfty_ltE
    - itv_meetUl
    - bound_meetA
    - subset_itv_oo_cc
    - itv_le0x
    - in_segmentDgt0Pr
    - in_segmentDgt0Pl
    - miditv_le_left
    - bound_lexx
    - subitvPr
    - bound_joinA
    - mid_in_itv
    - itv_ge
    - itv_dec
    - BInfty_geE
    - mem_miditv
    - subset_itv_co_cc
    - ge_pinfty
    - BInfty_gtF
    - itv_meetKU
    - itv_total_meet3E
    - bound_leEmeet
    - itvxx
    - in_itv
    - itvP
    - oppr_itvoo
    - bound_meetC
    - bound_meetKU
    - leBRight_ltBLeft
    - lteif_in_itv
    - subitv_trans
    - BInfty_ltF
    - boundr_in_itv
    - lt_ninfty
    - ltBSide
    - subitvE
    - predC_itv
    - bound_le0x
    - boundl_in_itv
    - gt_pinfty
    - bound_joinKI
    - BLeft_BSide_leE
    - BInfty_ltE
    - predC_itvr
    - itv_joinA
    - ltBRight_leBLeft
    - bound_ltxx
    - itv_bound_total
    - itv_splitU1
    - BSide_ltE
    - lt_in_itv
    - oppr_itvoc
    - itv_bound_display
    - in_itvI
    - bound_joinC
    - oppr_itv
    - BInfty_gtE
    - itv_splitUeq
    - mid_in_itvoo
    - BSide_leE
    - subitv_anti
    - itv_boundlr
    - subset_itv_oo_oc
    - itvxxP
    - predC_itvl
    - subset_itv_oc_cc
    - lt_bound_def
    - itv_lex1
    - BInfty_ge_eqE
    - subset_itv_oo_co
    - le_bound_anti
    - itv_meetC
    - interval_can
    - itv_total_join3E
    - itv_joinC
    - BRight_leE
    - BRight_BSide_ltE
    - mem0_itvcc_xNx
    - itv_xx
    - subitv_refl
    - interval_display
  - path: mathcomp/solvable/center.v
    theorems:
    - center_class_formula
    - xcprodmI
    - xcprodmEl
    - cprod_by_uniq
    - subcentP
    - ker_cprod_by_central
    - subcent1_cycle_sub
    - subcent1_id
    - injm_cpairg1
    - xcprodm_cent
    - im_cpair_cprod
    - ncprod1
    - xcprodP
    - center_bigdprod
    - injm_cpair1g
    - sub_center_normal
    - injm_xcprodm
    - xcprodmE
    - cprod_center_id
    - im_cpair_cent
    - subcent1C
    - cpairg1_dom
    - center_bigcprod
    - center_cprod
    - ncprodS
    - cpair1g_dom
    - xcprod_subproof
    - subcent_norm
    - injgz
    - subcent_sub
    - cpair1g_center
    - isog_xcprod
    - center_normal
    - Aut_cprod_by_full
    - cpairg1_center
    - ker_cprod_by_is_group
    - gzZchar
    - im_xcprodm
    - center_char
    - center_idP
    - isog_cprod_by
    - Aut_cprod_full
    - subcent1_cycle_normal
    - center_ncprod0
    - centerP
    - cprod_by_key
    - morphim_center
    - subcent_normal
    - center_abelian
    - center1
    - subcent1_cycle_norm
    - in_cprodM
    - subcent1_sub
    - xcprodmEr
    - cyclic_center_factor_abelian
    - cpair_center_id
    - im_cpair
    - isog_center
    - eq_cpairZ
    - gzZ_lone
    - ncprod0
    - injm_center
    - ker_in_cprod
    - im_xcprodml
    - centerC
    - subcent1P
    - subcent_char
    - ncprod_key
    - cyclic_factor_abelian
    - Aut_ncprod_full
    - setI_im_cpair
    - gzZ
    - im_xcprodmr
  - path: mathcomp/solvable/jordanholder.v
    theorems:
    - maxainv_norm
    - qacts_coset
    - maxainvM
    - asimpleP
    - section_reprP
    - asimpleI
    - StrongJordanHolderUniqueness
    - simple_compsP
    - maxainvS
    - maxainv_exists
    - trivg_acomps
    - asimple_acompsP
    - qacts_cosetpre
    - maxainv_ainvar
    - section_repr_isog
    - gactsM
    - compsP
    - exists_comps
    - qact_dom_doms
    - maxainv_sub
    - asimple_quo_maxainv
    - acomps_cons
    - trivg_comps
    - acts_qact_doms
    - exists_acomps
    - comps_cons
  - path: mathcomp/solvable/commutator.v
    theorems:
    - derJ
    - commXg
    - quotient_cents2
    - sub_der1_abelian
    - commg_subr
    - dergS
    - commgV
    - normsRr
    - commXXg
    - commgMJ
    - commg_normal
    - normsRl
    - commMgR
    - der_normalS
    - derg1
    - commg_normr
    - der_abelian
    - commgAC
    - Hall_Witt_identity
    - quotient_der
    - sub_der1_norm
    - commg_sub
    - commG1
    - commg_norm
    - commg_normSr
    - commg_norml
    - sub_der1_normal
    - der1_min
    - der_sub
    - commg_normSl
    - comm1G
    - commMGr
    - commVg
    - charR
    - der_normal
    - expMg_Rmul
    - commgMR
    - der_cont
    - morphim_der
    - der_norm
    - comm_norm_cent_cent
    - der_group_set
    - commMgJ
    - dergSn
    - conjg_mulR
    - commg_subl
    - commg_subI
    - three_subgroup
    - der1_joing_cycles
    - derG1P
    - conjg_Rmul
  - path: mathcomp/ssreflect/finfun.v
    theorems:
    - card_pfamily
    - tnth_fgraph
    - ffunK
    - card_ffun
    - ffunE
    - eq_dffun
    - supportP
    - FinfunK
    - tuple_of_finfunK
    - nth_fgraph_ord
    - tfgraph_inj
    - ffunP
    - codom_ffun
    - fgraphK
    - tagged_tfgraph
    - fgraph_codom
    - familyP
    - pffun_onP
    - card_dep_ffun
    - finfun_of_tupleK
    - pfamilyP
    - ffun_onP
    - card_ffun_on
    - card_family
    - card_pffun_on
    - eq_ffun
    - codom_tffun
    - fgraph_ffun0
    - tfgraphK
    - ffun0
  - path: mathcomp/ssreflect/ssrfun.v
    theorems:
    - eq_omap
    - inj_omap
    - omapK
    - omap_id
  - path: mathcomp/ssreflect/choice.v
    theorems:
    - chooseP
    - pair_of_tagK
    - ltn_code
    - seq_of_optK
    - nat_pickleK
    - gtn_decode
    - codeK
    - bool_of_unitK
    - pickle_invK
    - xchooseP
    - pickleK_inv
    - sigW
    - eq_xchoose
    - pickle_seqK
    - sig_eqW
    - PCanHasChoice
    - nat_hasChoice
    - opair_of_sumK
    - codeK
    - eq_choose
    - tag_of_pairK
    - sig2_eqW
    - decodeK
    - pcan_pickleK
    - xchoose_subproof
  - path: mathcomp/algebra/polyXY.v
    theorems:
    - map_div_annihilantP
    - swapXYK
    - swapXY_is_multiplicative
    - size_poly_XaY
    - max_size_lead_coefXY
    - swapXY_comp_poly
    - horner_polyC
    - swapXY_poly_XaY
    - swapXY_map
    - horner_poly_XaY
    - max_size_evalC
    - div_annihilant_in_ideal
    - lead_coef_poly_XaY
    - sizeY_mulX
    - poly_XaY_eq0
    - swapXY_key
    - root_annihilant
    - max_size_evalX
    - poly_XmY0
    - coef_swapXY
    - swapXY_map_polyC
    - swapXY_polyC
    - horner2_swapXY
    - swapXY_eq0
    - sizeY_eq0
    - algebraic_root_polyXY
    - horner_swapXY
    - div_annihilant_neq0
    - size_poly_XmY
    - swapXY_Y
    - swapXY_poly_XmY
    - map_sub_annihilantP
    - poly_XmY_eq0
    - horner_poly_XmY
    - sub_annihilant_neq0
    - div_annihilantP
    - sub_annihilantP
    - swapXY_is_additive
    - sub_annihilant_in_ideal
  - path: mathcomp/algebra/ring_quotient.v
    theorems:
    - rquot_IdomainAxiom
    - nonzero1q
    - idealMr
    - mulqC
    - idealr_closed_nontrivial
    - idealr1
    - pi_is_multiplicative
    - idealrDE
    - addqC
    - addNq
    - idealr_closedB
    - pi_is_additive
    - pi_opp
    - addqA
    - mul1q
    - idealrBE
    - equivE
    - pi_mul
    - idealr0
    - mulq_addl
    - add0q
    - pi_add
  - path: mathcomp/solvable/hall.v
    theorems:
    - strongest_coprime_quotient_cent
    - coprime_Hall_trans
    - ext_coprime_quotient_cent
    - quotient_TI_subcent
    - coprime_cent_mulG
    - Hall_exists_subJ
    - SchurZassenhaus_trans_actsol
    - Hall_superset
    - sol_coprime_Sylow_subset
    - external_action_im_coprime
    - ext_norm_conj_cent
    - Hall_subJ
    - SchurZassenhaus_split
    - Hall_exists
    - coprime_norm_cent
    - ext_coprime_Hall_exists
    - coprime_Hall_subset
    - Hall_Frattini_arg
    - sol_coprime_Sylow_trans
    - norm_conj_cent
    - coprime_norm_quotient_cent
    - sol_coprime_Sylow_exists
    - SchurZassenhaus_trans_sol
    - ext_coprime_Hall_subset
    - Hall_trans
    - ext_coprime_Hall_trans
    - coprime_Hall_exists
  - path: mathcomp/ssreflect/ssrAC.v
    theorems:
    - serial_Op
    - set_pos_trecE
    - cforallP
    - pos_set_pos
    - proof
  - path: mathcomp/field/cyclotomic.v
    theorems:
    - prod_cyclotomic
    - size_cyclotomic
    - Cintr_Cyclotomic
    - root_cyclotomic
    - Cyclotomic_monic
    - C_prim_root_exists
    - minCpoly_cyclotomic
    - prod_Cyclotomic
    - cyclotomic_monic
    - separable_Xn_sub_1
    - size_Cyclotomic
    - Cyclotomic0
  - path: mathcomp/solvable/primitive_action.v
    theorems:
    - n_act0
    - stab_ntransitive
    - dtuple_on_add_D1
    - ntransitive_weak
    - ntransitive1
    - n_act_add
    - ntransitive_primitive
    - trans_prim_astab
    - ntransitive0
    - n_act_dtuple
    - dtuple_on_add
    - stab_ntransitiveI
    - prim_trans_norm
    - dtuple_on_subset
    - dtuple_onP
    - card_uniq_tuple
  - path: mathcomp/ssreflect/ssrbool.v
    theorems:
    - if_add
    - classic_ex
    - classic_sigW
    - if_or
    - if_implybC
    - if_and
    - relpre_trans
    - homo_mono1
  - path: mathcomp/field/algebraics_fundamentals.v
    theorems:
    - rat_algebraic_archimedean
    - minPoly_decidable_closure
    - rat_algebraic_decidable
    - Fundamental_Theorem_of_Algebraics
    - alg_integral