Theorems · Theorem · convex and discrete geometry
Geometry.SimplicialComplex.ext
∀ {𝕜 : Type u_1} {E : Type u_2} {inst : Ring 𝕜} {inst_1 : PartialOrder 𝕜} {inst_2 : AddCommGroup E}
{inst_3 : Module 𝕜 E} {x y : Geometry.SimplicialComplex 𝕜 E}, x.faces = y.faces → x = y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Finsetstatement and proof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Finset.Nonemptyproof · cited by 1,001
- convexHullproof · cited by 163
- AffineIndependentproof · cited by 144
- PreAbstractSimplicialComplex.facesstatement and proof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.
- Geometry.SimplicialComplex.ext_iffproof · cited by 0