Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Pullback.Triplet.hx
∀ {X Y S : AlgebraicGeometry.Scheme} {f : X ⟶ S} {g : Y ⟶ S} (self : AlgebraicGeometry.Scheme.Pullback.Triplet f g),
f self.x = self.s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Pullback.Triplet.tensorproof · cited by 25
- AlgebraicGeometry.Scheme.Pullback.Triplet.tensorInlproof · cited by 9
- AlgebraicGeometry.Scheme.Pullback.Triplet.tensorInrproof · cited by 9
- AlgebraicGeometry.Scheme.Pullback.ofPointTensor_SpecTensorToproof · cited by 2
- AlgebraicGeometry.Scheme.Pullback.residueFieldCongr_inv_residueFieldMap_ofPointstatement · cited by 1
- AlgebraicGeometry.Scheme.Pullback.Triplet.isPullback_SpecMap_tensorstatement and proof · cited by 1