Theorems · Inductive type · combinatorics
DiscreteTiling.Protoset
(G : Type u_1) → (X : Type u_2) → Type u_3 → [inst : Group G] → [MulAction G X] → Type (max (max u_1 u_2) u_3)
A Protoset G X ιₚ is an indexed family of Prototile G X. This is a separate definition
rather than just using plain functions to facilitate defining associated API that can be used with
dot notation.
- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by46
Results whose statement or proof uses this declaration.
- DiscreteTiling.Protoset.tilesstatement and proof · cited by 22
- DiscreteTiling.PlacedTilestatement · cited by 18
- DiscreteTiling.PlacedTile.coeSetstatement and proof · cited by 10
- DiscreteTiling.PlacedTile.indexstatement and proof · cited by 7
- DiscreteTiling.PlacedTile.casesOnstatement and proof · cited by 5
- DiscreteTiling.PlacedTile.groupEltsstatement and proof · cited by 4
- DiscreteTiling.PlacedTile.coe_smulstatement and proof · 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