Theorems · Theorem · algebraic topology

SSet.Truncated.Edge.src_eq

∀ {X : SSet.Truncated 2} {x₀ x₁ : X.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge._proof_1 })}
  (self : SSet.Truncated.Edge x₀ x₁),
  (CategoryTheory.ConcreteCategory.hom
        (X.map (SimplexCategory.Truncated.δ₂ 1 SSet.Truncated.Edge._proof_1 SSet.Truncated.Edge._proof_3).op))
      self.edge =
    x₀

The source of the edge is x₀.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated

Cited by

3 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound