Theorems · Theorem · group theory
DoubleCoset.left_bot_eq_left_quot
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), DoubleCoset.Quotient ↑⊥ ↑H = (G ⧸ H)- Defined in
- Mathlib.GroupTheory.DoubleCoset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement and proof · 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
- HasQuotient.Quotientstatement · cited by 2,301
- QuotientGroup.leftRelproof · cited by 61
- Setoid.extproof · cited by 26
- DoubleCoset.Quotientstatement · cited by 16
- DoubleCoset.setoidproof · cited by 13
- DoubleCoset.bot_rel_eq_leftRelproof · cited by 1
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