Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.eq_of_fromFunctionField_eq
∀ {X Y : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsIntegral X] (f g : X.RationalMap Y),
f.fromFunctionField = g.fromFunctionField → f = g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsIntegral
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Cites12
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- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Specstatement · cited by 626
- AlgebraicGeometry.Scheme.PartialMapproof · cited by 76
- AlgebraicGeometry.IsIntegralstatement and proof · cited by 45
- AlgebraicGeometry.Scheme.PartialMap.toRationalMapproof · cited by 26
- AlgebraicGeometry.Scheme.RationalMapstatement and proof · cited by 25
- AlgebraicGeometry.Scheme.functionFieldstatement · cited by 23
- AlgebraicGeometry.Scheme.PartialMap.toRationalMap_eq_iffproof · cited by 7
- AlgebraicGeometry.Scheme.RationalMap.fromFunctionFieldstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.exists_repproof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.equiv_of_fromSpecStalkOfMem_eqproof · cited by 1
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