Theorems · Theorem · group theory
Submonoid.powLogEquiv_apply
∀ {M : Type u_1} [inst : Monoid M] [inst_1 : DecidableEq M] {n : M} (h : Function.Injective fun m => n ^ m)
(m : Multiplicative ℕ), (Submonoid.powLogEquiv h) m = Submonoid.pow n (Multiplicative.toAdd m)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 875
- Submonoid.powersstatement · cited by 408
- Multiplicative.toAddstatement · cited by 161
- Submonoid.powstatement · cited by 13
- Submonoid.powLogEquivstatement and proof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.