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Theorems · Theorem · group theory

Submonoid.log_pow_eq_self

∀ {M : Type u_1} [inst : Monoid M] [inst_1 : DecidableEq M] {n : M},
  (Function.Injective fun m => n ^ m) → ∀ (m : ℕ), Submonoid.log (Submonoid.pow n m) = m
Defined in
Mathlib.Algebra.Group.Submonoid.Membership
Cited by
0 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidDecidableEq
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Around this declaration

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Submonoid.powLogEquiv · cited by 4Submonoid.powLogEquivMonoid · cited by 3887MonoidSubmonoid.pow · cited by 13Submonoid.powSubmonoid.log · cited by 5Submonoid.logSubmonoid.pow_log_eq_self · cited by 1Submonoid.pow_log_eq_selfSubmonoid.pow_right_injective_iff_pow_injective · cited by 1Submonoid.pow_right_injec…Submonoid.log_pow_eq_selfCITED BYCITES

Cites5

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Cited by1

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