Theorems · Theorem · group theory
MulEquiv.map_range_powMonoidHom
∀ {M : Type u_5} {N : Type u_6} [inst : CommGroup M] [inst_1 : CommGroup N] (e : M ≃* N) (n : ℕ),
Subgroup.map (↑e) (powMonoidHom n).range = (powMonoidHom n).range- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomproof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement and proof · cited by 1,142
- CommGroupstatement and proof · cited by 990
- map_powproof · cited by 503
- MonoidHom.compproof · cited by 469
- MonoidHom.rangestatement and proof · cited by 314
- Subgroup.mapstatement and proof · cited by 301
- MonoidHomClass.toMonoidHomstatement and proof · cited by 294
- MonoidHom.extproof · cited by 109
- MonoidHom.range_eq_mapproof · cited by 37
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