Theorems · Theorem · combinatorics
DiscreteTiling.PlacedTile.ext
∀ {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} {x y : DiscreteTiling.PlacedTile ps},
x.index = y.index → x.groupElts ≍ y.groupElts → x = y- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 3 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.
Cites16
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
- 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
- DiscreteTiling.Prototile.carrierstatement and proof · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- DiscreteTiling.PlacedTile.ext_iffproof · cited by 0
- DiscreteTiling.PlacedTile.ext_iff_of_existsproof · cited by 0
- DiscreteTiling.PlacedTile.ext_iff_of_preimageproof · cited by 0