Theorems · Definition · convex and discrete geometry

Geometry.SimplicialComplex.ofSubcomplex

{𝕜 : Type u_1} →
  {E : Type u_2} →
    [inst : Ring 𝕜] →
      [inst_1 : PartialOrder 𝕜] →
        [inst_2 : AddCommGroup E] →
          [inst_3 : Module 𝕜 E] →
            (K : Geometry.SimplicialComplex 𝕜 E) →
              (faces : Set (Finset E)) → faces ⊆ K.faces → IsLowerSet faces → Geometry.SimplicialComplex 𝕜 E

Construct a simplicial complex as a subset of a given simplicial complex.

Defined in

Mathlib.Analysis.Convex.SimplicialComplex.Basic

Cited by

1 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderAddCommGroupModule