Theorems · Theorem · convex and discrete geometry
Geometry.SimplicialComplex.facets_bot
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Ring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommGroup E]
[inst_3 : Module 𝕜 E], ⊥.facets = ∅- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Finsetstatement · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement · cited by 4,720
- Geometry.SimplicialComplexstatement · cited by 27
- Set.eq_empty_of_subset_emptyproof · cited by 15
- Geometry.SimplicialComplex.facetsstatement · cited by 4
- Geometry.SimplicialComplex.facets_subsetproof · cited by 1
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