Theorems · Definition · combinatorics
DiscreteTiling.Prototile.symmetries
{G : Type u_1} →
{X : Type u_2} →
[inst : Group G] →
[inst_1 : MulAction G X] → (self : DiscreteTiling.Prototile G X) → Subgroup ↥(MulAction.stabilizer G ↑self)The group elements considered to be symmetries of the prototile.
- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement · cited by 254
- Set.mulActionSetstatement · cited by 95
- DiscreteTiling.Prototile.carrierstatement · cited by 21
- DiscreteTiling.Prototilestatement and proof · cited by 14
Cited by24
Results whose statement or proof uses this declaration.
- DiscreteTiling.PlacedTile.casesOnstatement and proof · cited by 5
- DiscreteTiling.PlacedTile.groupEltsstatement · cited by 4
- DiscreteTiling.PlacedTile.extstatement and proof · cited by 3
- DiscreteTiling.PlacedTile.induction_onstatement and proof · cited by 2
- DiscreteTiling.PlacedTile.coe_finite_iffproof · cited by 1
- DiscreteTiling.PlacedTile.coe_nonempty_iffproof · 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
- DiscreteTiling.PlacedTile.coe_mk_coestatement · cited by 0
- DiscreteTiling.PlacedTile.coe_mk_finite_iffstatement and proof · cited by 0
- DiscreteTiling.PlacedTile.coe_mk_mkstatement · cited by 0