Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.image_preimage_eq_of_isPullback
∀ {P X Y Z : AlgebraicGeometry.Scheme} {fst : P ⟶ X} {snd : P ⟶ Y} {f : X ⟶ Z} {g : Y ⟶ Z},
CategoryTheory.IsPullback fst snd f g → ∀ (s : Set ↥X), ⇑snd '' ⇑fst ⁻¹' s = ⇑g ⁻¹' ⇑f '' s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
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