Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.pretopology.congr_simp

∀ (P P_1 : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme) (e_P : P = P_1) [inst : P.IsStableUnderBaseChange]
  [inst_1 : P.IsMultiplicative], AlgebraicGeometry.Scheme.pretopology P = AlgebraicGeometry.Scheme.pretopology P_1

Defined in: Mathlib.AlgebraicGeometry.Sites.Pretopology
Cited by: 0 results in Mathlib
Foundations: Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.MorphismProperty.IsStableUnderBaseChange CategoryTheory.MorphismProperty.IsMultiplicative

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AlgebraicGeometry.Schemestatement and proof · cited by 2,540
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
CategoryTheory.MorphismProperty.IsStableUnderBaseChangestatement and proof · cited by 131
CategoryTheory.Pretopologystatement · cited by 32
AlgebraicGeometry.Scheme.pretopologystatement and proof · cited by 6

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