Theorems · Theorem · category theory
ComplexShape.Embedding.extendFunctor.congr_simp
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e e_1 : c.Embedding c'),
e = e_1 →
∀ (C : Type u_3) [inst : CategoryTheory.Category.{v_1, u_3} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C], e.extendFunctor C = e_1.extendFunctor C- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- ComplexShape.Embeddingstatement and proof · cited by 337
- ComplexShape.Embedding.extendFunctorstatement and proof · cited by 5
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