Theorems · Theorem · algebraic geometry

CategoryTheory.Precoverage.ZeroHypercover.singleton.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Precoverage C} {S T : C} (f f_1 : S ⟶ T)
  (e_f : f = f_1) (hf : CategoryTheory.Presieve.singleton f ∈ J.coverings T),
  CategoryTheory.Precoverage.ZeroHypercover.singleton f hf = CategoryTheory.Precoverage.ZeroHypercover.singleton f_1 ⋯

Defined in

Mathlib.AlgebraicGeometry.Morphisms.UnderlyingMap

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category