Theorems · Theorem · group theory
DoubleCoset.bot_rel_eq_leftRel
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), ⇑(DoubleCoset.setoid ↑⊥ ↑H) = ⇑(QuotientGroup.leftRel 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
- Subgroupstatement and proof · cited by 3,593
- one_mulproof · cited by 2,841
- inv_mul_cancel_leftproof · cited by 88
- mul_inv_cancel_leftproof · cited by 86
- QuotientGroup.leftRelstatement · cited by 61
- QuotientGroup.leftRel_applyproof · cited by 17
- DoubleCoset.setoidstatement · cited by 13
- DoubleCoset.rel_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DoubleCoset.left_bot_eq_left_quotproof · cited by 0