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Theorems · Theorem · group theory

npowRec_add

∀ {M : Type u} [inst : One M] [inst_1 : Semigroup M] (m n : ℕ),
  n ≠ 0 → ∀ (a : M), 1 * a = a → npowRec (m + n) a = npowRec m a * npowRec n a
Defined in
Mathlib.Algebra.Group.Defs
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext
Assumes
OneSemigroup
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Submodule.pow_add · cited by 3Submodule.pow_addnpowRec_succ · cited by 0npowRec_succmul_assoc · cited by 1667mul_assocSemigroup · cited by 202SemigroupnpowRec_addCITED BYCITES

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