Theorems · Theorem · group theory
Submonoid.pow_right_injective_iff_pow_injective
∀ {M : Type u_1} [inst : Monoid M] {n : M}, (Function.Injective fun m => n ^ m) ↔ Function.Injective (Submonoid.pow n)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Submonoid.powersstatement · cited by 408
- Subtype.coe_injectiveproof · cited by 205
- Function.Injective.of_comp_iffproof · cited by 14
- Submonoid.powstatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.log_pow_eq_selfproof · cited by 0