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Theorems · Theorem · group theory

Submonoid.pow_log_eq_self

∀ {M : Type u_1} [inst : Monoid M] [inst_1 : DecidableEq M] {n : M} (p : ↥(Submonoid.powers n)),
  Submonoid.pow n (Submonoid.log p) = p
Defined in
Mathlib.Algebra.Group.Submonoid.Membership
Cited by
1 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidDecidableEq
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Submonoid.powLogEquiv · cited by 4Submonoid.powLogEquivSubmonoid.log_pow_eq_self · cited by 0Submonoid.log_pow_eq_selfMonoid · cited by 3887MonoidSubmonoid · cited by 3086SubmonoidSubtype.prop · cited by 505Subtype.propSubmonoid.powers · cited by 408Submonoid.powersNat.find_spec · cited by 74Nat.find_specSubmonoid.pow · cited by 13Submonoid.powSubmonoid.log · cited by 5Submonoid.logSubmonoid.pow_log_eq_selfCITED BYCITES

Cites7

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Cited by2

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