Theorems · Definition · group theory
DoubleCoset.Quotient
{G : Type u_1} → [Group G] → Set G → Set G → Type u_1Quotient of G by the double coset relation, i.e. H \ G / K
- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- DoubleCoset.setoidproof · cited by 13
Cited by18
Results whose statement or proof uses this declaration.
- DoubleCoset.mkstatement · cited by 7
- DoubleCoset.quotToDoubleCosetstatement and proof · cited by 6
- DoubleCoset.iUnion_quotToDoubleCosetstatement and proof · cited by 4
- DoubleCoset.out_eq'statement and proof · cited by 3
- DoubleCoset.eqstatement · cited by 3
- DoubleCoset.mk_eq_of_doubleCoset_eqstatement · cited by 2
- DoubleCoset.eq''statement · cited by 1
- DoubleCoset.mem_quotToDoubleCoset_iffstatement and proof · cited by 1
- DoubleCoset.mk_out_eq_mulproof · cited by 1
- DoubleCoset.finite_quotient_iff_exists_finset_iUnion_eq_univstatement and proof · cited by 0
- DoubleCoset.iUnion_finset_leftRel_eq_univ_of_leftRelstatement and proof · cited by 0
- DoubleCoset.iUnion_finset_rightRel_eq_univ_of_rightRelstatement and proof · cited by 0