Theorems · Theorem · combinatorics
DiscreteTiling.PlacedTile.coe_smul
∀ {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} (g : G) (pt : DiscreteTiling.PlacedTile ps), ↑(g • pt) = g • ↑pt- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.smulSetstatement · cited by 608
- SemigroupAction.mul_smulproof · cited by 291
- DiscreteTiling.Protosetstatement and proof · cited by 29
- DiscreteTiling.Protoset.tilesproof · cited by 22
- DiscreteTiling.Prototile.carrierproof · cited by 21
- DiscreteTiling.PlacedTilestatement and proof · cited by 18
- DiscreteTiling.PlacedTile.coeSetstatement · cited by 10
- DiscreteTiling.PlacedTile.induction_onproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- DiscreteTiling.PlacedTile.mem_smul_iff_smul_inv_memproof · cited by 0
- DiscreteTiling.PlacedTile.smul_mem_smul_iffproof · cited by 0
- DiscreteTiling.PlacedTile.mem_inv_smul_iff_smul_memproof · cited by 0