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Theorems · Theorem · group theory

pow_add

∀ {M : Type u_2} [inst : Monoid M] (a : M) (m n : ℕ), a ^ (m + n) = a ^ m * a ^ n
Defined in
Mathlib.Algebra.Group.Defs
Cited by
315 results in Mathlib
Foundations
Depth 11 from the axioms, rests on 58 definitions · uses no axioms
Assumes
Monoid

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Cites1

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

Cited by315

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 315.