Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equiv_right
∀ {X Y Z : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X] [inst_1 : Nonempty ↥Y] (f : X.PartialMap Y)
[inst_2 : AlgebraicGeometry.IsDominant f.hom] {g₁ g₂ : Y.PartialMap Z}, g₁.equiv g₂ → (f.comp g₁).equiv (f.comp g₂)Composition respects equivalence of partial maps on the right.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equivproof · cited by 0
- AlgebraicGeometry.Scheme.RationalMap.comp_assocproof · cited by 0