Theorems · Theorem · category theory
CategoryTheory.Equivalence.sheafCongr.inverse.congr_simp
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (J : CategoryTheory.GrothendieckTopology C) {D : Type u₂}
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] (K : CategoryTheory.GrothendieckTopology D) (e e_1 : C ≌ D)
(e_e : e = e_1) (A : Type u₃) [inst_2 : CategoryTheory.Category.{v₃, u₃} A]
[inst_3 : CategoryTheory.Functor.IsDenseSubsite K J e.inverse],
CategoryTheory.Equivalence.sheafCongr.inverse J K e A = CategoryTheory.Equivalence.sheafCongr.inverse J K e_1 A- Defined in
- Mathlib.Condensed.Light.Small
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- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement · cited by 763
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Functor.IsDenseSubsitestatement and proof · cited by 87
- CategoryTheory.Equivalence.sheafCongr.inversestatement and proof · cited by 23
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