Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Cover.pushforwardIso_f

∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} [inst : P.RespectsIso] [inst_1 : P.ContainsIdentities]
  [inst_2 : P.IsStableUnderComposition] {X Y : AlgebraicGeometry.Scheme}
  (𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) X) (f : X ⟶ Y)
  [inst_3 : CategoryTheory.IsIso f] (x : 𝒰.I₀), (𝒰.pushforwardIso f).f x = CategoryTheory.CategoryStruct.comp (𝒰.f x) f

Defined in: Mathlib.AlgebraicGeometry.Cover.MorphismProperty
Cited by: 0 results in Mathlib
Foundations: Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.MorphismProperty.RespectsIso CategoryTheory.MorphismProperty.ContainsIdentities CategoryTheory.MorphismProperty.IsStableUnderComposition CategoryTheory.IsIso

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