Theorems · Theorem · category theory
CategoryTheory.Functor.mapTriangleCommShiftIso.congr_simp
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.HasShift C ℤ]
[inst_3 : CategoryTheory.HasShift D ℤ] (F : CategoryTheory.Functor C D) [inst_4 : F.CommShift ℤ]
[inst_5 : CategoryTheory.Preadditive C] [inst_6 : CategoryTheory.Preadditive D] [inst_7 : F.Additive] (n : ℤ),
F.mapTriangleCommShiftIso n = F.mapTriangleCommShiftIso n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
- CategoryTheory.Pretriangulated.Trianglestatement · cited by 645
- CategoryTheory.Functor.CommShiftstatement and proof · cited by 249
- CategoryTheory.Functor.mapTrianglestatement · cited by 87
- CategoryTheory.Pretriangulated.Triangle.shiftFunctorstatement · cited by 31
- CategoryTheory.Functor.mapTriangleCommShiftIsostatement and proof · cited by 7
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