Theorems · Theorem · combinatorics
DiscreteTiling.PlacedTile.ext_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} {x y : DiscreteTiling.PlacedTile ps},
x = y ↔ x.index = y.index ∧ x.groupElts ≍ y.groupElts- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- MulActionstatement and proof · cited by 1,294
- Subgroup.mapstatement · cited by 301
- MulAction.stabilizerstatement · cited by 254
- Subgroup.subtypestatement · cited by 185
- Set.mulActionSetstatement · cited by 95
- DiscreteTiling.Protosetstatement and proof · cited by 29
- DiscreteTiling.Protoset.tilesstatement · cited by 22
- DiscreteTiling.Prototile.carrierstatement · cited by 21
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