Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.comp_assoc
∀ {X₁ X₂ X₃ Y : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X₁] [inst_1 : IrreducibleSpace ↥X₂]
[inst_2 : Nonempty ↥X₃] (f₁ : X₁.RationalMap X₂) [inst_3 : f₁.IsDominant] (f₂ : X₂.RationalMap X₃)
[inst_4 : f₂.IsDominant] (f₃ : X₃.RationalMap Y), (f₁.comp f₂).comp f₃ = f₁.comp (f₂.comp f₃)- Cited by
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- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.Scheme.PartialMap.toRationalMapproof · cited by 26
- AlgebraicGeometry.Scheme.RationalMapstatement and proof · cited by 25
- AlgebraicGeometry.Scheme.PartialMap.equivproof · cited by 18
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