Theorems · Theorem · combinatorics
DiscreteTiling.PlacedTile.coe_mk_finite_iff
∀ {G : Type u_1} {X : Type u_2} {ιₚ : Type u_3} [inst : Group G] [inst_1 : MulAction G X]
{ps : DiscreteTiling.Protoset G X ιₚ} {i : ιₚ}
(g : G ⧸ Subgroup.map (MulAction.stabilizer G ↑(↑ps i)).subtype (↑ps i).symmetries),
(↑{ index := i, groupElts := g }).Finite ↔ (↑(↑ps i)).Finite- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Set.Finitestatement · cited by 1,814
- MulActionstatement and proof · cited by 1,294
- Subgroup.mapstatement and proof · cited by 301
- MulAction.stabilizerstatement and proof · cited by 254
- Subgroup.subtypestatement and proof · cited by 185
- Set.mulActionSetstatement · cited by 95
- DiscreteTiling.Protosetstatement and proof · cited by 29
- DiscreteTiling.Protoset.tilesstatement and proof · cited by 22
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