Theorems · Definition · algebraic topology

SSet.Edge.CompStruct.simplex

{X : SSet} →
  {x₀ x₁ x₂ : X.obj (Opposite.op { len := 0 })} →
    {e₀₁ : SSet.Edge x₀ x₁} →
      {e₁₂ : SSet.Edge x₁ x₂} → {e₀₂ : SSet.Edge x₀ x₂} → e₀₁.CompStruct e₁₂ e₀₂ → X.obj (Opposite.op { len := 2 })

The underlying 2-simplex in a structure SSet.Edge.CompStruct.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.CompStruct

Cited by

13 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound