Theorems · Theorem · group theory
DoubleCoset.rel_bot_eq_right_group_rel
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), ⇑(DoubleCoset.setoid ↑H ↑⊥) = ⇑(QuotientGroup.rightRel H)- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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.
Cites11
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
- Bot.botstatement and proof · cited by 4,720
- mul_oneproof · cited by 3,885
- Subgroupstatement and proof · cited by 3,593
- inv_mul_cancel_rightproof · cited by 70
- mul_inv_cancel_rightproof · cited by 53
- QuotientGroup.rightRelstatement · cited by 44
- DoubleCoset.setoidstatement · cited by 13
- QuotientGroup.rightRel_applyproof · cited by 4
- DoubleCoset.rel_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DoubleCoset.right_bot_eq_right_quotproof · cited by 0