fqn stringclasses 78 values | status stringclasses 2 values | attempt_num stringlengths 6 13 | proof_steps listlengths 1 27 | filepath stringclasses 43 values | line int64 24 6.79k | character int64 12 79 | repository stringclasses 1 value |
|---|---|---|---|---|---|---|---|
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 502_FAIL_0 | [
"rewrite -subn1 -mulrC mulr1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_0 | [
"rewrite -Frobenius_coprime dvdn_pmul2r // -subn1 -mulnC -subnBA."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_1 | [
"rewrite -(dvdn_pmul2r (coprime_gt0 _ _)) // -subn1 -mulnC -Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_2 | [
"rewrite -dvdn_pmul2r ?(Frobenius_coprime frobG) // -subn1 -mulnC."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_3 | [
"rewrite -dvdn_pmul2r ?Frobenius_coprime // -[_ * _](mulrC _)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_4 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 -mulnC -Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_5 | [
"rewrite -Frobenius_coprime -dvdn_pmul2r ?subn_gt0 //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_6 | [
"rewrite -(dvdn_pmul2r (coprime_sym Frobenius_coprime)) -subn1 -mulnC -subn1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_7 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) Frobenius_coprime // -mulnC -subnC."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_8 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) Frobenius_coprime //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_9 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 -mulnC -subnK ?dvdn_mul //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_10 | [
"rewrite -Frobenius_coprime mulnC dvdn_pmul2r // dvdn_sub // dvdn_mul //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_11 | [
"rewrite -dvdn_pmul2r ?#|H|.-1 // -Frobenius_coprime // -mulnC -subnK."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_12 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subnK -subn1 -mulnC -Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_13 | [
"rewrite -dvdn_pmul2r ?Frobenius_coprime // -[n in _ %| n]muln_subA -mulnC."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_14 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) Frobenius_coprime // -mulnC."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_15 | [
"rewrite -dvdn_pmul2r ?(Frobenius_coprime frobG) // -subn1 -mulnC -subnK."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_16 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subnK -Frobenius_coprime // -mulnC."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_17 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 -muln_subC -mulnC."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_18 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // mul_cardG (eq_cardGid (setIidPl G H))."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_19 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // mul_cardG -subn1 dvdn_mul //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_20 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // mul_cardG (subn1 (cardG_gt0 K)) dvdn_mul //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_21 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv ?mul_cardG ?dvdn_mul ?(Frobenius_coprime frobG)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_22 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // -mul_cardG setIidPr // (subn1 (cardG_gt0 K))."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_23 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // -mul_cardG Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_24 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"rewrite -Frobenius_Ldiv // -mul_cardG ?subS //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_27 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"rewrite -Frobenius_Ldiv // -mul_cardG setIS //= -subn1 Frobenius_coprime //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_29 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // -mul_cardG setIS //= Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_30 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -(Frobenius_Ldiv H) -mul_cardG // dvdn_sub // Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_31 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -(Frobenius_Ldiv (Frobenius_coprime frobG)) mul_cardG."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_33 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // -(mul_cardG K H) -subn1 Frobenius_coprime."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_34 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"rewrite -Frobenius_Ldiv // -mul_cardG ?subgS //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_35 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // mul_cardG setIC // dvdn_mul2l //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_36 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // -(mul_cardG K H) // dvdn_mul //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_39 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"rewrite -Frobenius_Ldiv // -mul_cardG ?subg1 //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_44 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite Frobenius_Ldiv ?mul_cardG ?Frobenius_coprime //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_45 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite -Frobenius_Ldiv // -mul_cardG setIS //= -subn1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_46 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"by rewrite Frobenius_Ldiv ?mul_cardG ?(Frobenius_coprime frobG)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1917_FAIL_48 | [
"rewrite -(dvdn_pmul2r (cardG_gt0 H)) -subn1 dvdn_mul //.",
"rewrite -Frobenius_Ldiv // -mul_cardG ?subg1 // dvdn_mul //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1944_FAIL_0 | [
"by apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1944_FAIL_26 | [
"by rewrite Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_0 | [
"by rewrite divgS; rewrite set_Frobenius_compl; apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_1 | [
"by rewrite -divgS (set_Frobenius_compl _) Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_2 | [
"by rewrite divgS (set_Frobenius_compl K H) Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_4 | [
"by rewrite -divgS (set_Frobenius_compl _) Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_5 | [
"by rewrite divgS/set_Frobenius_compl // Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_6 | [
"by rewrite -divgS (set_Frobenius_compl K H) Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_7 | [
"by rewrite divgS (set_Frobenius_compl K) Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_8 | [
"by rewrite -divgS (set_Frobenius_compl K H) // Frobenius_ker_dvd_ker1 ?divg_p // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_10 | [
"by rewrite divgS (set_Frobenius_compl G H) Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_11 | [
"by rewrite divgS (set_Frobenius_compl _) Frobenius_ker_dvd_ker1 ?divg_p ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_12 | [
"by rewrite -divgS (set_Frobenius_compl K H) // Frobenius_ker_dvd_ker1 ?divg_p ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_14 | [
"by rewrite divgS (set_Frobenius_compl K) Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_15 | [
"by rewrite -divgS (set_Frobenius_compl K) Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_16 | [
"by rewrite divgS (set_Frobenius_compl K H) Frobenius_ker_dvd_ker1 ?divg_p ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_20 | [
"by rewrite divgS (set_Frobenius_compl _) Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_22 | [
"by rewrite divgS (set_Frobenius_compl K H) Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_23 | [
"by rewrite -divgS (set_Frobenius_compl _) Frobenius_ker_dvd_ker1 ?divg_p ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_24 | [
"by rewrite divgS; rewrite (set_Frobenius_compl K H); apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_26 | [
"by rewrite divgS -(set_Frobenius_compl K) Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_28 | [
"by rewrite divgS (set_Frobenius_compl K) // Frobenius_ker_dvd_ker1 // cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1520_FAIL_30 | [
"by rewrite -divgS (set_Frobenius_compl K) // Frobenius_ker_dvd_ker1 ?cardG_gt1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1759_FAIL_0 | [
"by rewrite -dvdn_divRL mulnC -card_orbit_stab Frobenius_Cauchy."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_0 | [
"pose aG := [group_act G (left_coset K)] => /=."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_1 | [
"pose act := (gactperm (G : {set gT}) (lcoset (G : {set gT} K)))."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_2 | [
"pose aG := finGroupAction (coset K) (G :^: 'R)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_3 | [
"pose aG := [ffun x : gT => actperm to (G : {set gT}) x]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_4 | [
"pose gA := [ffun x : gT => (actperm to (G : {set gT}) x)^-1]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_5 | [
"pose gA := left_coset_action (1%G : {group gT}) K."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_6 | [
"pose gact: {action gT} := (group_act (retrG K G)) \\o lcoset K."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_7 | [
"pose aG := group_action (lcoset K) on G."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_8 | [
"pose aG := [ffun x : gT => actperm to G x]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_9 | [
"pose aG := left_act (setT - K) G."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_10 | [
"pose act := (group_act (retrGid G))%g."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_11 | [
"pose aG := [ffun x : gT => [set x * k | k in K]]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_12 | [
"pose act := (group_act (G / K) K)^op."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_13 | [
"pose gA := left_coset_action (1%G : {group gT})."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_14 | [
"pose aG := [group actperm (lcoset to G)] : {group gT -> gT}."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_15 | [
"pose aG := [ffun x : gT => (actperm to G x).^-1]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_16 | [
"pose aG := [action G on {set (lcoset K)}]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_17 | [
"pose act := (groupAction (G : {set gT}) (lcoset K)) \\o gact."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_18 | [
"pose aG := [ffun x : gT => if x \\in K then 1 else x]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_19 | [
"pose aG := finGroupAction (gval to G) (leftCoset to K) (G :|: K)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_20 | [
"pose gA := left_action (setT - K) G."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_23 | [
"pose actG := (mulg K)^ acting_on (left_coset K)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_24 | [
"pose aG := [ffun x : gT => 'R_x *: (G : {set gT})]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_25 | [
"pose aG := [ffun x : gT => 'C_G[x | to]] \\o tofun."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_26 | [
"pose aG := [group_act G / (lcoset (K^#))]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_27 | [
"pose act := groupAction (gval (G \\o K)) (mem (G \\o K))."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_28 | [
"pose aG := finGroupAction (ltn_pred 1) (fun x => gactperm to x)."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_29 | [
"pose gAct := (actperm (ltn_pred 0)) \\o (cosetm K) \\o (actperm (ltn_pred 1))."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_30 | [
"pose aG := action (lcoset K) G."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 93_FAIL_31 | [
"pose act := (groupAction (G : {set gT}) (coset (K : {set gT})))."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1981_FAIL_0 | [
"by have <- : (#|K| * #|H|)%N = #|G|; apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1981_FAIL_2 | [
"by have <-: (#|K| * #|H|)%N = #|G|; apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1981_FAIL_3 | [
"by have <- : (#|K| * #|H|)%N = #|G| := sdprod_card _ _ _; apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 1981_FAIL_25 | [
"by have <- : (#|K| * #|H|)%N = #|G| := sdprod_card frobG; apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 407_FAIL_1 | [
"rewrite /'Frobenius; apply: Frobenius_ker_dvd_ker1 => //."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 407_FAIL_2 | [
"rewrite /Frobenius=> /andP[/imsetP[-> defH] oHG]; apply: Frobenius_ker_dvd_ker1."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
mathcomp.solvable.frobenius.Frobenius_index_dvd_ker1 | FAIL | 407_FAIL_4 | [
"rewrite /Frobenius=> /andP[/imsetP[//|defH] cHH]."
] | solvable/frobenius.v | 415 | 52 | https://github.com/theostos/math-comp.git |
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