Theorems · Theorem · group theory
AddSubgroup.quotientiInfAddSubgroupOfEmbedding_apply_mk
∀ {α : Type u_1} [inst : AddGroup α] {ι : Type u_2} (f : ι → AddSubgroup α) (H : AddSubgroup α) (g : ↥H) (i : ι),
(AddSubgroup.quotientiInfAddSubgroupOfEmbedding f H) (↑g) i = ↑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
- AddGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- iInfstatement · cited by 1,690
- Function.Embeddingstatement · cited by 988
- QuotientAddGroup.mkstatement · cited by 348
- AddSubgroup.addSubgroupOfstatement · cited by 87
- AddSubgroup.quotientiInfAddSubgroupOfEmbeddingstatement · cited by 4
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