Theorems · Theorem · group theory
DoubleCoset.disjoint_out
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} {a b : DoubleCoset.Quotient ↑H ↑K},
a ≠ b → Disjoint (DoubleCoset.doubleCoset (Quotient.out a) ↑H ↑K) (DoubleCoset.doubleCoset (Quotient.out b) ↑H ↑K)- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 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.
Cites12
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
- Disjointstatement and proof · cited by 2,201
- Quotient.outstatement and proof · cited by 141
- DoubleCoset.Quotientstatement and proof · cited by 16
- DoubleCoset.doubleCosetstatement and proof · cited by 15
- DoubleCoset.setoidstatement · cited by 13
- DoubleCoset.out_eq'proof · cited by 3
- DoubleCoset.mk_eq_of_doubleCoset_eqproof · cited by 2
- DoubleCoset.eq_of_not_disjointproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.