Theorems · Theorem · combinatorics
DiscreteTiling.Prototile.mk.inj
∀ {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
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- DiscreteTiling.Prototile.mk.injEqproof · cited by 0