Theorems · Theorem · algebraic topology

SSet.stdSimplex.mem_face_iff

∀ {n : ℕ} (S : Finset (Fin (n + 1))) {d : ℕ} (x : (SSet.stdSimplex.obj { len := n }).obj (Opposite.op { len := d })),
  x ∈ (SSet.stdSimplex.face S).obj (Opposite.op { len := d }) ↔ ∀ (i : Fin (d + 1)), x i ∈ S

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound