Theorems · Theorem · group theory
Subgroup.quotientSubgroupOfEmbeddingOfLE_apply_mk
∀ {α : Type u_1} [inst : Group α] {s t : Subgroup α} (H : Subgroup α) (h : s ≤ t) (g : ↥s),
(Subgroup.quotientSubgroupOfEmbeddingOfLE H h) ↑g = ↑((Subgroup.inclusion h) g)- Defined in
- Mathlib.GroupTheory.Coset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 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.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- Function.Embeddingstatement · cited by 988
- QuotientGroup.mkstatement · cited by 196
- Subgroup.subgroupOfstatement · cited by 122
- Subgroup.inclusionstatement · cited by 21
- Subgroup.quotientSubgroupOfEmbeddingOfLEstatement · cited by 3
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