Theorems · Theorem · combinatorics
DiscreteTiling.PlacedTile.coe_nonempty_iff
∀ {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} {pt : DiscreteTiling.PlacedTile ps}, (↑pt).Nonempty ↔ (↑(↑ps pt.index)).Nonempty- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.Nonemptystatement and proof · cited by 2,627
- HasQuotient.Quotientproof · cited by 2,301
- MulActionstatement and proof · cited by 1,294
- Subgroup.mapproof · cited by 301
- MulAction.stabilizerproof · cited by 254
- Subgroup.subtypeproof · cited by 185
- Quotient.outproof · cited by 141
- Quotient.mk''proof · cited by 132
- QuotientGroup.leftRelproof · cited by 61
- Quotient.out_eq'proof · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- DiscreteTiling.PlacedTile.coe_mk_nonempty_iffproof · cited by 0