Theorems · Theorem · group theory
Submonoid.powLogEquiv_symm_apply
∀ {M : Type u_1} [inst : Monoid M] [inst_1 : DecidableEq M] {n : M} (h : Function.Injective fun m => n ^ m)
(m : ↥(Submonoid.powers n)), (Submonoid.powLogEquiv h).symm m = Multiplicative.ofAdd (Submonoid.log m)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidDecidableEq
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- MulEquivstatement · cited by 1,142
- Multiplicativestatement · cited by 875
- MulEquiv.symmstatement and proof · cited by 482
- Submonoid.powersstatement and proof · cited by 408
- Multiplicative.ofAddstatement · cited by 237
- Submonoid.logstatement · cited by 5
- Submonoid.powLogEquivstatement and proof · cited by 4
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