Theorems · Definition · combinatorics
DiscreteTiling.PlacedTile.coeSet
{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} → DiscreteTiling.PlacedTile ps → Set XCoercion from a PlacedTile to a set of points. Use the coercion rather than using coeSet
directly.
- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Protosetstatement and proof · cited by 29
- DiscreteTiling.Protoset.tilesproof · cited by 22
- DiscreteTiling.Prototile.carrierproof · cited by 21
- Quotient.liftOn'proof · cited by 19
- DiscreteTiling.PlacedTilestatement and proof · cited by 18
- DiscreteTiling.PlacedTile.indexproof · cited by 7
- DiscreteTiling.PlacedTile.groupEltsproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- DiscreteTiling.PlacedTile.coe_smulstatement · cited by 3
- DiscreteTiling.PlacedTile.mem_coestatement · cited by 1
- DiscreteTiling.PlacedTile.coe_finite_iffstatement · cited by 1
- DiscreteTiling.PlacedTile.coe_nonempty_iffstatement · cited by 1
- DiscreteTiling.PlacedTile.mem_inv_smul_iff_smul_memproof · cited by 0
- DiscreteTiling.PlacedTile.mem_smul_iff_smul_inv_memproof · cited by 0
- DiscreteTiling.PlacedTile.coe_mk_coestatement · cited by 0
- DiscreteTiling.PlacedTile.coe_mk_finite_iffstatement · cited by 0
- DiscreteTiling.PlacedTile.coe_mk_mkstatement · cited by 0
- DiscreteTiling.PlacedTile.coe_mk_nonempty_iffstatement · cited by 0