Theorems · Definition · group theory
DoubleCoset.mk
{G : Type u_1} → [inst : Group G] → (H K : Subgroup G) → G → DoubleCoset.Quotient ↑H ↑KMap from G to H \ G / K
- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Quotient.mk''proof · cited by 132
- DoubleCoset.Quotientstatement · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- DoubleCoset.iUnion_quotToDoubleCosetproof · cited by 4
- DoubleCoset.out_eq'statement · 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_mulstatement and proof · cited by 1