Theorems · Theorem · combinatorics
DiscreteTiling.PlacedTile.smul_mem_smul_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} (g : G) {x : X} {pt : DiscreteTiling.PlacedTile ps}, g • x ∈ g • pt ↔ x ∈ pt- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- MulActionstatement and proof · cited by 1,294
- DiscreteTiling.Protosetstatement and proof · cited by 29
- DiscreteTiling.PlacedTilestatement and proof · cited by 18
- Set.smul_mem_smul_set_iffproof · cited by 14
- DiscreteTiling.PlacedTile.coe_smulproof · cited by 3
- DiscreteTiling.PlacedTile.mem_coeproof · cited by 1
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