Theorems · Definition · group theory
DoubleCoset.doubleCoset
{α : Type u_2} → [Mul α] → α → Set α → Set α → Set αThe double coset as an element of Set α corresponding to s a t
- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by17
Results whose statement or proof uses this declaration.
- DoubleCoset.setoidproof · cited by 13
- DoubleCoset.mem_doubleCosetstatement · cited by 7
- DoubleCoset.quotToDoubleCosetproof · cited by 6
- DoubleCoset.doubleCoset_eq_of_memstatement and proof · cited by 5
- DoubleCoset.rel_iffproof · cited by 3
- DoubleCoset.mem_doubleCoset_selfstatement · cited by 2
- DoubleCoset.mk_eq_of_doubleCoset_eqstatement and proof · cited by 2
- DoubleCoset.eq_of_not_disjointstatement and proof · cited by 1
- DoubleCoset.mem_doubleCoset_of_not_disjointstatement and proof · cited by 1
- DoubleCoset.doubleCoset_eq_image2statement · cited by 1
- 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