Theorems · Definition · combinatorics
DiscreteTiling.Prototile.carrier
{G : Type u_1} → {X : Type u_2} → [inst : Group G] → [inst_1 : MulAction G X] → DiscreteTiling.Prototile G X → Set XThe points in the prototile. Use the coercion to Set X, or ∈ on the Prototile, rather
than using carrier directly. The coercion cannot use SetLike because it does not satisfy
coe_injective.
- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MulActionstatement and proof · cited by 1,294
- DiscreteTiling.Prototilestatement and proof · cited by 14
Cited by29
Results whose statement or proof uses this declaration.
- DiscreteTiling.Prototile.symmetriesstatement · cited by 18
- DiscreteTiling.PlacedTile.coeSetproof · cited by 10
- DiscreteTiling.PlacedTile.casesOnstatement and proof · cited by 5
- DiscreteTiling.PlacedTile.groupEltsstatement · cited by 4
- DiscreteTiling.PlacedTile.coe_smulproof · cited by 3
- DiscreteTiling.PlacedTile.extstatement and proof · cited by 3
- DiscreteTiling.PlacedTile.induction_onstatement and proof · cited by 2
- DiscreteTiling.PlacedTile.coe_finite_iffstatement and proof · cited by 1
- DiscreteTiling.PlacedTile.coe_nonempty_iffstatement and proof · cited by 1
- DiscreteTiling.PlacedTile.mk.injstatement and proof · cited by 1
- DiscreteTiling.PlacedTile.mk.noConfusionstatement and proof · cited by 1
- DiscreteTiling.Prototile.extstatement and proof · cited by 1