Theorems · Theorem · combinatorics
DiscreteTiling.Prototile.mk.injEq
∀ {G : Type u_1} {X : Type u_2} [inst : Group G] [inst_1 : MulAction G X] (carrier : Set X)
(symmetries : Subgroup ↥(MulAction.stabilizer G carrier)) (carrier_1 : Set X)
(symmetries_1 : Subgroup ↥(MulAction.stabilizer G carrier_1)),
({ carrier := carrier, symmetries := symmetries } = { carrier := carrier_1, symmetries := symmetries_1 }) =
(carrier = carrier_1 ∧ symmetries ≍ symmetries_1)- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement and proof · cited by 254
- Set.mulActionSetstatement · cited by 95
- DiscreteTiling.Prototilestatement · cited by 14
- DiscreteTiling.Prototile.mk.injproof · cited by 1
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