Theorems · Theorem · algebraic geometry

AlgebraicGeometry.StructureSheaf.const_congr

∀ {R M : Type u} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {f₁ f₂ : M} {g₁ g₂ : R}
  {U : TopologicalSpace.Opens ↑(AlgebraicGeometry.PrimeSpectrum.Top R)} {hu : U ≤ PrimeSpectrum.basicOpen g₁},
  f₁ = f₂ →
    ∀ (hg : g₁ = g₂),
      AlgebraicGeometry.StructureSheaf.const f₁ g₁ U hu = AlgebraicGeometry.StructureSheaf.const f₂ g₂ U ⋯

Defined in

Mathlib.AlgebraicGeometry.StructureSheaf

Cited by

1 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule