Theorems · Theorem · algebraic geometry
AlgebraicGeometry.AffineTargetMorphismProperty.cancel_right_of_respectsIso
∀ (P : AlgebraicGeometry.AffineTargetMorphismProperty) [P.toProperty.RespectsIso] {X Y Z : AlgebraicGeometry.Scheme}
(f : X ⟶ Y) (g : Y ⟶ Z) [CategoryTheory.IsIso g] [inst : AlgebraicGeometry.IsAffine Z]
[inst_1 : AlgebraicGeometry.IsAffine Y], P (CategoryTheory.CategoryStruct.comp f g) ↔ P f- Cited by
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- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.MorphismProperty.RespectsIsostatement and proof · cited by 248
- AlgebraicGeometry.IsAffinestatement and proof · cited by 159
- AlgebraicGeometry.AffineTargetMorphismPropertystatement and proof · cited by 31
- CategoryTheory.MorphismProperty.cancel_right_of_respectsIsoproof · cited by 16
- AlgebraicGeometry.AffineTargetMorphismProperty.toPropertystatement and proof · cited by 9
- AlgebraicGeometry.AffineTargetMorphismProperty.toProperty_applyproof · cited by 3
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