Mathlib Map

Theorems · Definition · group theory

DoubleCoset.setoid

{G : Type u_1} → [Group G] → Set G → Set G → Setoid G

The setoid defined by the doubleCoset relation

Defined in
Mathlib.GroupTheory.DoubleCoset
Cited by
13 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DoubleCoset.Quotient · cited by 16DoubleCoset.QuotientDoubleCoset.out_eq' · cited by 3DoubleCoset.out_eq'DoubleCoset.rel_iff · cited by 3DoubleCoset.rel_iffDoubleCoset.eq'' · cited by 1DoubleCoset.eq''DoubleCoset.mk_out_eq_mul · cited by 1DoubleCoset.mk_out_eq_mulDoubleCoset.rel_bot_eq_right_group_rel · cited by 1DoubleCoset.rel_bot_eq_ri…DoubleCoset.bot_rel_eq_leftRel · cited by 1DoubleCoset.bot_rel_eq_le…DoubleCoset.iUnion_finset_leftRel_eq_univ_of_leftRel · cited by 0DoubleCoset.iUnion_finset…DoubleCoset.iUnion_finset_rightRel_eq_univ_of_rightRel · cited by 0DoubleCoset.iUnion_finset…DoubleCoset.iUnion_image_mk_leftRel · cited by 0DoubleCoset.iUnion_image_…DoubleCoset.iUnion_image_mk_rightRel · cited by 0DoubleCoset.iUnion_image_…HeckeCoset.setoid · cited by 0HeckeCoset.setoidDoubleCoset.left_bot_eq_left_quot · cited by 0DoubleCoset.left_bot_eq_l…DoubleCoset.right_bot_eq_right_quot · cited by 0DoubleCoset.right_bot_eq_…DoubleCoset.disjoint_out · cited by 0DoubleCoset.disjoint_outSet · cited by 53352SetGroup · cited by 6238GroupSetoid.ker · cited by 43Setoid.kerDoubleCoset.doubleCoset · cited by 15DoubleCoset.doubleCosetDoubleCoset.setoidCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.