Theorems · Theorem · group theory
QuotientGroup.homQuotientZPowOfHom_id
∀ {A : Type u} [inst : CommGroup A] (n : ℤ),
QuotientGroup.homQuotientZPowOfHom (MonoidHom.id A) n = MonoidHom.id (A ⧸ (zpowGroupHom n).range)- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- CommGroupstatement and proof · cited by 990
- MonoidHom.idstatement · cited by 323
- MonoidHom.rangestatement and proof · cited by 314
- zpowGroupHomstatement and proof · cited by 12
- QuotientGroup.monoidHom_extproof · cited by 5
- QuotientGroup.homQuotientZPowOfHomstatement · cited by 3
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