Theorems · Theorem · group theory
Pi.mulSingle_pow
∀ {I : Type u} {f : I → Type v} [inst : DecidableEq I] [inst_1 : (i : I) → Monoid (f i)] (i : I) (x : f i) (n : ℕ),
Pi.mulSingle i (x ^ n) = Pi.mulSingle i x ^ n- Defined in
- Mathlib.Algebra.Group.Pi.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Pi.mulSinglestatement · cited by 111
- MonoidHom.map_powproof · cited by 30
- MonoidHom.mulSingleproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- RestrictedProduct.mulSingle_powproof · cited by 0