Theorems · Theorem · algebraic geometry

CategoryTheory.MorphismProperty.pretopology.congr_simp

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C]
  (P P_1 : CategoryTheory.MorphismProperty C) (e_P : P = P_1) [inst_2 : P.IsMultiplicative]
  [inst_3 : P.IsStableUnderBaseChange], P.pretopology = P_1.pretopology

Defined in: Mathlib.CategoryTheory.Sites.MorphismProperty
Cited by: 0 results in Mathlib
Foundations: Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasPullbacks CategoryTheory.MorphismProperty.IsMultiplicative CategoryTheory.MorphismProperty.IsStableUnderBaseChange

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
CategoryTheory.MorphismProperty.IsStableUnderBaseChangestatement and proof · cited by 131
CategoryTheory.Pretopologystatement · cited by 32
CategoryTheory.MorphismProperty.pretopologystatement and proof · cited by 8

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