Theorems · Theorem · algebraic topology
SSet.Edge.ext
∀ {X : SSet} {x₀ x₁ : X.obj (Opposite.op { len := 0 })} {e e' : SSet.Edge x₀ x₁}, e.edge = e'.edge → e = e'- Cited by
- 3 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Edgestatement and proof · cited by 55
- SSet.Edge.edgestatement and proof · cited by 30
- SSet.Truncated.Edge.extproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.nerve.edgeMk_surjectiveproof · cited by 1
- CategoryTheory.nerve.edgeMk_idproof · cited by 0
- SSet.Edge.ext_iffproof · cited by 0