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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.le_comap_map | [] | [
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Mathlib/Analysis/Normed/Group/Basic.lean | norm_div_le | [
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Mathlib/Algebra/Order/Field/Basic.lean | one_div_neg | [] | [
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Mathlib/Order/Filter/Extr.lean | isMaxOn_univ_iff | [] | [
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.ae_bdd_liminf_atTop_rpow_of_snorm_bdd | [
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Mathlib/RingTheory/Ideal/Basic.lean | Ideal.span_union | [] | [
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Mathlib/Data/Prod/Basic.lean | Function.Surjective.Prod_map | [] | [
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Mathlib/Data/Set/Sups.lean | Set.infs_subset | [] | [
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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.mem_graph_iff | [
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Mathlib/Topology/UniformSpace/Cauchy.lean | IsCompact.isComplete | [] | [
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Mathlib/Data/Finsupp/Order.lean | Finsupp.add_sub_single_one | [] | [
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Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.single_zero | [] | [
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Mathlib/Data/List/Pairwise.lean | List.pairwise_iff_get | [
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Mathlib/Algebra/ContinuedFractions/TerminatedStable.lean | GeneralizedContinuedFraction.convergents'Aux_stable_step_of_terminated | [
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | edist_toMul | [] | [
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Mathlib/CategoryTheory/Endomorphism.lean | CategoryTheory.End.one_def | [] | [
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Mathlib/Data/Set/Sigma.lean | Set.mem_sigma_iff | [] | [
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Mathlib/Topology/ExtremallyDisconnected.lean | CompactT2.Projective.extremallyDisconnected | [
{
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Mathlib/Algebra/Hom/NonUnitalAlg.lean | NonUnitalAlgHom.snd_prod | [
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Mathlib/Topology/Algebra/Module/Basic.lean | Submodule.smul_closure_subset | [] | [
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Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.mk'_sec | [] | [
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Mathlib/Algebra/Algebra/Operations.lean | Submodule.comap_unop_one | [
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"tactic": "rw [← map_equiv_eq_comap_symm, map_op_on... | [
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Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean | Real.iter_deriv_exp | [
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Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.divides_sq_eq_zero | [
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Mathlib/Analysis/Normed/Group/HomCompletion.lean | NormedAddCommGroup.norm_toCompl | [] | [
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Mathlib/Topology/Separation.lean | lim_eq | [] | [
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Mathlib/Analysis/InnerProductSpace/Calculus.lean | DifferentiableAt.norm | [] | [
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Mathlib/Algebra/Module/Injective.lean | Module.Baer.extensionOfMax_le | [
{
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Mathlib/Geometry/Euclidean/Sphere/Basic.lean | EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne | [
{
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Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean | SimpleGraph.left_nonuniformWitnesses_subset | [
{
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Mathlib/Analysis/Calculus/ContDiff.lean | contDiff_neg | [] | [
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Mathlib/Data/Pi/Algebra.lean | Function.injective_pi_map | [] | [
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Mathlib/Algebra/Order/Ring/Defs.lean | mul_lt_one_of_nonneg_of_lt_one_right | [] | [
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Mathlib/Order/GaloisConnection.lean | GaloisCoinsertion.isLUB_of_l_image | [] | [
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Mathlib/Order/WellFoundedSet.lean | Set.PartiallyWellOrderedOn.mono | [] | [
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Mathlib/GroupTheory/Congruence.lean | Con.ext | [
{
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Std/Data/Int/Lemmas.lean | Int.mul_assoc | [
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Mathlib/Analysis/NormedSpace/Exponential.lean | norm_expSeries_summable_of_mem_ball' | [
{
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Mathlib/Algebra/Parity.lean | even_iff_two_dvd | [
{
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.iUnion_ball_nat_succ | [] | [
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Mathlib/Algebra/GCDMonoid/Finset.lean | Finset.gcd_mul_left | [
{
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Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | BilinForm.toMatrix_symm | [] | [
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Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.lTensorHomToHomLTensor_apply | [] | [
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Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | NNReal.rpow_sub | [] | [
100,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.neighborSet_inf | [] | [
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Mathlib/GroupTheory/PresentedGroup.lean | PresentedGroup.to_group_eq_one_of_mem_closure | [] | [
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Mathlib/Order/CompleteLattice.lean | sup_biSup | [
{
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | AeStronglyMeasurable.stronglyMeasurableAtFilter_of_mem | [] | [
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Icc_subset_Icc_union_Ioc | [] | [
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84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Convex/SimplicialComplex/Basic.lean | Geometry.SimplicialComplex.face_subset_face_iff | [] | [
185,
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Mathlib/Data/List/Range.lean | List.pairwise_lt_range' | [] | [
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Std/Data/List/Basic.lean | List.replicateTR_loop_eq | [
{
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Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integrableOn_iUnion_of_summable_norm_restrict | [
{
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818,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
807,
1
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Mathlib/Algebra/ModEq.lean | AddCommGroup.modEq_refl | [
{
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"tactic": "simp"
}
] | [
57,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
56,
1
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Mathlib/Algebra/Algebra/Hom.lean | AlgHom.coe_ringHom_injective | [] | [
203,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
202,
1
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Mathlib/Algebra/GroupPower/Lemmas.lean | Int.natAbs_pow | [
{
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"tactic": "induction' k with k ih <;> [rfl; rw [pow_succ', Int.natAbs_mul, pow_succ', ih]]"
... | [
551,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
550,
1
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Mathlib/Analysis/NormedSpace/lpSpace.lean | Memℓp.of_exponent_ge | [
{
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217,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.some_single_some | [
{
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839,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
835,
1
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Mathlib/Algebra/Group/Pi.lean | Pi.mulSingle_apply_commute | [
{
"state_after": "case inl\nι : Type ?u.74703\nα : Type ?u.74706\nI : Type u\nf : I → Type v\nx✝ y : (i : I) → f i\ni✝ j : I\ninst✝¹ : DecidableEq I\ninst✝ : (i : I) → MulOneClass (f i)\nx : (i : I) → f i\ni : I\n⊢ Commute (mulSingle i (x i)) (mulSingle i (x i))\n\ncase inr\nι : Type ?u.74703\nα : Type ?u.74706... | [
562,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
558,
1
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Mathlib/Order/BoundedOrder.lean | bot_lt_top | [] | [
903,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
902,
1
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Mathlib/Order/Bounded.lean | Set.unbounded_inter_ge | [] | [
445,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
1
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Mathlib/Topology/Basic.lean | pure_le_nhds | [] | [
1050,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1050,
1
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Std/Data/List/Lemmas.lean | List.suffix_refl | [] | [
1580,
56
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1580,
1
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.measure_eq_measure_of_between_null_diff | [
{
"state_after": "α : Type u_1\nβ : Type ?u.27550\nγ : Type ?u.27553\nδ : Type ?u.27556\nι : Type ?u.27559\nR : Type ?u.27562\nR' : Type ?u.27565\nm : MeasurableSpace α\nμ μ₁ μ₂ : Measure α\ns s₁✝ s₂✝ t s₁ s₂ s₃ : Set α\nh12 : s₁ ⊆ s₂\nh23 : s₂ ⊆ s₃\nh_nulldiff : ↑↑μ (s₃ \\ s₁) = 0\nle12 : ↑↑μ s₁ ≤ ↑↑μ s₂\n⊢ ↑↑... | [
278,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
268,
1
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Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.mul | [] | [
285,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
283,
11
] |
Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | ENNReal.rpow_pos_of_nonneg | [
{
"state_after": "case pos\np : ℝ\nx : ℝ≥0∞\nhx_pos : 0 < x\nhp_nonneg : 0 ≤ p\nhp_zero : p = 0\n⊢ 0 < x ^ p\n\ncase neg\np : ℝ\nx : ℝ≥0∞\nhx_pos : 0 < x\nhp_nonneg : 0 ≤ p\nhp_zero : ¬p = 0\n⊢ 0 < x ^ p",
"state_before": "p : ℝ\nx : ℝ≥0∞\nhx_pos : 0 < x\nhp_nonneg : 0 ≤ p\n⊢ 0 < x ^ p",
"tactic": "by_c... | [
655,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
649,
1
] |
Mathlib/Topology/Order/Basic.lean | Antitone.map_iInf_of_continuousAt' | [] | [
2757,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2755,
1
] |
Mathlib/Order/LiminfLimsup.lean | Filter.HasBasis.limsup_eq_iInf_iSup | [
{
"state_after": "no goals",
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... | [
709,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
707,
1
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Mathlib/Algebra/Group/Basic.lean | div_div_div_cancel_left | [
{
"state_after": "no goals",
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"tactic": "rw [← inv_div b c, div_inv_eq_mul, mul_comm, div_mul_div_cancel']"
}
] | [
1013,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1012,
1
] |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.degree_le' | [] | [
815,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
813,
1
] |
Mathlib/Algebra/Star/Basic.lean | MulOpposite.op_star | [] | [
602,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
601,
1
] |
Mathlib/Analysis/Normed/Group/Pointwise.lean | closedBall_div_singleton | [
{
"state_after": "no goals",
"state_before": "E : Type u_1\ninst✝ : SeminormedCommGroup E\nε δ : ℝ\ns t : Set E\nx y : E\n⊢ closedBall x δ / {y} = closedBall (x / y) δ",
"tactic": "simp [div_eq_mul_inv]"
}
] | [
176,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
1
] |
Mathlib/Algebra/Order/Field/Basic.lean | sub_one_div_inv_le_two | [
{
"state_after": "ι : Type ?u.187185\nα : Type u_1\nβ : Type ?u.187191\ninst✝ : LinearOrderedField α\na b c d : α\nn : ℤ\na2 : 2 ≤ a\n⊢ 2⁻¹ ≤ 1 - 1 / a",
"state_before": "ι : Type ?u.187185\nα : Type u_1\nβ : Type ?u.187191\ninst✝ : LinearOrderedField α\na b c d : α\nn : ℤ\na2 : 2 ≤ a\n⊢ (1 - 1 / a)⁻¹ ≤ 2",... | [
931,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
923,
1
] |
Mathlib/Data/List/Cycle.lean | List.prev_ne_cons_cons | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.86825\ninst✝ : DecidableEq α\nl : List α\nx y z : α\nh : x ∈ y :: z :: l\nhy : x ≠ y\nhz : x ≠ z\n⊢ x ∈ z :: l",
"tactic": "simpa [hy] using h"
},
{
"state_after": "case nil\nα : Type u_1\ninst✝ : DecidableEq α\nx y z : α\nhy : x ≠ y\nhz ... | [
245,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
1
] |
Mathlib/Data/FunLike/Basic.lean | FunLike.congr_fun | [] | [
188,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
11
] |
Std/Classes/LawfulMonad.lean | SatisfiesM.seq | [
{
"state_after": "m : Type u_1 → Type u_2\nα α✝ : Type u_1\np₁ : (α → α✝) → Prop\nf✝ : m (α → α✝)\np₂ : α → Prop\nq : α✝ → Prop\ninst✝¹ : Applicative m\ninst✝ : LawfulApplicative m\nx✝ : m α\nhf : SatisfiesM p₁ f✝\nhx : SatisfiesM p₂ x✝\nH : ∀ {f : α → α✝} {a : α}, p₁ f → p₂ a → q (f a)\nf : m { a // p₁ a }\nx ... | [
130,
58
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
124,
11
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Mathlib/Analysis/Calculus/MeanValue.lean | Convex.lipschitzOnWith_of_nnnorm_derivWithin_le | [] | [
663,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Restrict.lean | AffineMap.restrict.coe_apply | [] | [
61,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/Tactic/Ring/Basic.lean | Mathlib.Tactic.Ring.add_overlap_pf | [
{
"state_after": "u : Lean.Level\nR : Type u_1\nα : Q(Type u)\nsα : Q(CommSemiring «$α»)\ninst✝ : CommSemiring R\na b x : R\ne : ℕ\n⊢ x ^ e * a + x ^ e * b = x ^ e * (a + b)",
"state_before": "u : Lean.Level\nR : Type u_1\nα : Q(Type u)\nsα : Q(CommSemiring «$α»)\ninst✝ : CommSemiring R\na b c x : R\ne : ℕ\... | [
278,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
1
] |
Mathlib/Analysis/SpecialFunctions/CompareExp.lean | Complex.IsExpCmpFilter.isLittleO_im_pow_exp_re | [
{
"state_after": "no goals",
"state_before": "l : Filter ℂ\nhl : IsExpCmpFilter l\nn : ℕ\n⊢ ∀ (x : ℂ), ((fun z => z.im ^ ↑n) ^ 2) x = (x.im ^ ↑n) ^ 2",
"tactic": "simp"
},
{
"state_after": "l : Filter ℂ\nhl : IsExpCmpFilter l\nn : ℕ\nx✝ : ℂ\n⊢ (x✝.im ^ n) ^ 2 = x✝.im ^ (2 * n)",
"state_befor... | [
126,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/Data/Nat/Totient.lean | Nat.prime_iff_card_units | [
{
"state_after": "case inl\np : ℕ\ninst✝ : Fintype (ZMod p)ˣ\nhp : p = 0\n⊢ Prime p ↔ Fintype.card (ZMod p)ˣ = p - 1\n\ncase inr\np : ℕ\ninst✝ : Fintype (ZMod p)ˣ\nhp : NeZero p\n⊢ Prime p ↔ Fintype.card (ZMod p)ˣ = p - 1",
"state_before": "p : ℕ\ninst✝ : Fintype (ZMod p)ˣ\n⊢ Prime p ↔ Fintype.card (ZMod p)... | [
262,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
254,
1
] |
Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean | Complex.arg_eq_nhds_of_re_neg_of_im_pos | [
{
"state_after": "x z : ℂ\nhx_re : x.re < 0\nhx_im : 0 < x.im\nh_forall_nhds : ∀ᶠ (y : ℂ) in 𝓝 x, y.re < 0 ∧ 0 < y.im\n⊢ arg =ᶠ[𝓝 x] fun x => arcsin ((-x).im / ↑abs x) + π\n\ncase h_forall_nhds\nx z : ℂ\nhx_re : x.re < 0\nhx_im : 0 < x.im\n⊢ ∀ᶠ (y : ℂ) in 𝓝 x, y.re < 0 ∧ 0 < y.im",
"state_before": "x z :... | [
521,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
515,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Real.dist_le_of_mem_Icc_01 | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.197176\nι : Type ?u.197179\ninst✝ : PseudoMetricSpace α\nx y : ℝ\nhx : x ∈ Icc 0 1\nhy : y ∈ Icc 0 1\n⊢ dist x y ≤ 1",
"tactic": "simpa only [sub_zero] using Real.dist_le_of_mem_Icc hx hy"
}
] | [
1386,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1385,
1
] |
Mathlib/Data/QPF/Multivariate/Constructions/Const.lean | MvQPF.Const.get_map | [] | [
72,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendstoUniformly_iff_seq_tendstoUniformly | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝¹ : UniformSpace β\nF : ι → α → β\nf : α → β\ns s' : Set α\nx : α\np : Filter ι\np' : Filter α\ng : ι → α\nl : Filter ι\ninst✝ : IsCountablyGenerated l\n⊢ TendstoUniformlyOn F f l univ ↔ ∀ (u : ℕ → ι), Tendsto u atTop l → TendstoUniformlyOn ... | [
585,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
581,
1
] |
Mathlib/Data/Set/Ncard.lean | Set.Finite_of_ncard_pos | [] | [
125,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/LinearAlgebra/BilinearMap.lean | LinearMap.llcomp_apply' | [] | [
322,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
322,
1
] |
Mathlib/Data/Nat/Choose/Basic.lean | Nat.multichoose_eq | [
{
"state_after": "no goals",
"state_before": "x✝ : ℕ\n⊢ multichoose x✝ 0 = choose (x✝ + 0 - 1) 0",
"tactic": "simp"
},
{
"state_after": "no goals",
"state_before": "k : ℕ\n⊢ multichoose 0 (k + 1) = choose (0 + (k + 1) - 1) (k + 1)",
"tactic": "simp"
},
{
"state_after": "n k : ℕ\n... | [
404,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
1
] |
Mathlib/MeasureTheory/Decomposition/Jordan.lean | MeasureTheory.SignedMeasure.mutuallySingular_ennreal_iff | [
{
"state_after": "case mp\nα : Type u_1\nβ : Type ?u.98874\ninst✝ : MeasurableSpace α\ns : SignedMeasure α\nμ : VectorMeasure α ℝ≥0∞\n⊢ s ⟂ᵥ μ → totalVariation s ⟂ₘ VectorMeasure.ennrealToMeasure μ\n\ncase mpr\nα : Type u_1\nβ : Type ?u.98874\ninst✝ : MeasurableSpace α\ns : SignedMeasure α\nμ : VectorMeasure α ... | [
592,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
574,
1
] |
Mathlib/Analysis/Convex/Star.lean | starConvex_iff_openSegment_subset | [] | [
198,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
Mathlib/Algebra/Order/Field/Power.lean | Nat.zpow_pos_of_pos | [
{
"state_after": "case ha\nα : Type u_1\ninst✝ : LinearOrderedSemifield α\na✝ b c d e : α\nm n✝ : ℤ\na : ℕ\nh : 0 < a\nn : ℤ\n⊢ 0 < ↑a",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedSemifield α\na✝ b c d e : α\nm n✝ : ℤ\na : ℕ\nh : 0 < a\nn : ℤ\n⊢ 0 < ↑a ^ n",
"tactic": "apply zpow_pos_of_pos"
... | [
52,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
50,
11
] |
Std/Data/Int/Lemmas.lean | Int.neg_ne_zero | [] | [
92,
76
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
92,
11
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.Icc_diff_both | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.89689\nα : Type u_1\ninst✝² : PartialOrder α\ninst✝¹ : LocallyFiniteOrder α\na✝ b✝ c : α\ninst✝ : DecidableEq α\na b : α\n⊢ Icc a b \\ {a, b} = Ioo a b",
"tactic": "simp [← coe_inj]"
}
] | [
561,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
561,
1
] |
Mathlib/Topology/FiberBundle/Trivialization.lean | Trivialization.symm_apply_apply_mk | [] | [
622,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
620,
1
] |
Mathlib/Topology/Maps.lean | QuotientMap.of_inverse | [] | [
310,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
308,
1
] |
Mathlib/Data/Complex/Exponential.lean | Complex.sinh_add | [
{
"state_after": "x y : ℂ\n⊢ (exp x - exp (-x)) * (exp y + exp (-y)) + (exp x + exp (-x)) * (exp y - exp (-y)) =\n 2 * (exp x * exp y - exp (-x) * exp (-y))",
"state_before": "x y : ℂ\n⊢ sinh (x + y) = sinh x * cosh y + cosh x * sinh y",
"tactic": "rw [← mul_right_inj' (two_ne_zero' ℂ), two_sinh, exp... | [
615,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
611,
1
] |
Mathlib/Data/MvPolynomial/Division.lean | MvPolynomial.divMonomial_add_modMonomial | [] | [
142,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
] |
Mathlib/InformationTheory/Hamming.lean | Hamming.toHamming_sub | [] | [
383,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
381,
1
] |
Mathlib/Topology/ContinuousFunction/Ordered.lean | ContinuousMap.sup_apply | [] | [
80,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
1
] |
Mathlib/Data/List/Basic.lean | List.zipLeft_eq_zipLeft' | [
{
"state_after": "ι : Type ?u.477219\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\na : α\nas✝ : List α\nb : β\nbs✝ : List β\nas : List α\nbs : List β\n⊢ zipWithLeft Prod.mk as bs = (zipWithLeft' Prod.mk as bs).fst",
"state_before": "ι : Type ?u.477219\nα : Type u\nβ : Type v\nγ : Type w\n... | [
4204,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4197,
1
] |
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