Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equiv
∀ {X Y Z : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X] [inst_1 : Nonempty ↥Y] (f₁ f₂ : X.PartialMap Y)
[inst_2 : AlgebraicGeometry.IsDominant f₁.hom] [inst_3 : AlgebraicGeometry.IsDominant f₂.hom],
f₁.equiv f₂ → ∀ (g₁ g₂ : Y.PartialMap Z), g₁.equiv g₂ → (f₁.comp g₁).equiv (f₂.comp g₂)Composition respects equivalence of partial maps in both arguments.
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- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
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