Theorems · Theorem · group theory
DoubleCoset.mk_eq_of_doubleCoset_eq
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} {a b : G},
DoubleCoset.doubleCoset a ↑H ↑K = DoubleCoset.doubleCoset b ↑H ↑K → DoubleCoset.mk H K a = DoubleCoset.mk H K b- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- DoubleCoset.Quotientstatement · cited by 16
- DoubleCoset.doubleCosetstatement and proof · cited by 15
- DoubleCoset.mem_doubleCosetproof · cited by 7
- DoubleCoset.mkstatement · cited by 7
- DoubleCoset.eqproof · cited by 3
- DoubleCoset.mem_doubleCoset_selfproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- DoubleCoset.mem_quotToDoubleCoset_iffproof · cited by 1
- DoubleCoset.disjoint_outproof · cited by 0