Mathlib Map

Theorems · Theorem · algebraic geometry

AlgebraicGeometry.affineAnd.congr_simp

∀ (Q Q_1 : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop),
  Q = Q_1 →
    ∀ ⦃X Y : AlgebraicGeometry.Scheme⦄ (x x_1 : X ⟶ Y),
      x = x_1 →
        ∀ [inst : AlgebraicGeometry.IsAffine Y], AlgebraicGeometry.affineAnd Q x = AlgebraicGeometry.affineAnd Q_1 x_1
Defined in
Mathlib.AlgebraicGeometry.Morphisms.AffineAnd
Cited by
0 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.IsAffine
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.Hom · cited by 32603Quiver.HomCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.IsAffine · cited by 159AlgebraicGeometry.IsAffineAlgebraicGeometry.affineAnd · cited by 21AlgebraicGeometry.affineA…affineAnd.congr_simpCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.