Theorems · Theorem · algebraic geometry

CategoryTheory.MorphismProperty.coverage_toPrecoverage

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.MorphismProperty C)
  [inst_1 : P.IsStableUnderBaseChange] [inst_2 : P.HasPullbacks], P.coverage.toPrecoverage = P.precoverage

Defined in: Mathlib.CategoryTheory.Sites.MorphismProperty
Cited by: 0 results in Mathlib
Foundations: Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MorphismProperty.IsStableUnderBaseChange CategoryTheory.MorphismProperty.HasPullbacks

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites8

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

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Precoveragestatement · cited by 204
CategoryTheory.MorphismProperty.IsStableUnderBaseChangestatement and proof · cited by 131
CategoryTheory.Coverage.toPrecoveragestatement and proof · cited by 33
CategoryTheory.MorphismProperty.precoveragestatement · cited by 23
CategoryTheory.MorphismProperty.HasPullbacksstatement and proof · cited by 4
CategoryTheory.MorphismProperty.coveragestatement and proof · cited by 2

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.