Theorems · Theorem · category theory
CategoryTheory.Core.functorToCore_comp_left
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {G : Type u₂} [inst_1 : CategoryTheory.Groupoid G]
{G' : Type u₃} [inst_2 : CategoryTheory.Groupoid G'] (H : CategoryTheory.Functor G C)
(F : CategoryTheory.Functor G' G),
CategoryTheory.Core.functorToCore (F.comp H) = F.comp (CategoryTheory.Core.functorToCore H)- Defined in
- Mathlib.CategoryTheory.Core
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Corestatement · cited by 85
- CategoryTheory.Functor.ext_of_isoproof · cited by 28
- CategoryTheory.Core.functorToCorestatement and proof · cited by 7
- CategoryTheory.Core.functorToCoreCompLeftIsoproof · cited by 1
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