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Theorems · Theorem · number theory

Odd.pow

∀ {α : Type u_2} [inst : Semiring α] {a : α} {n : ℕ}, Odd a → Odd (a ^ n)
Defined in
Mathlib.Algebra.Ring.Parity
Cited by
7 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext
Assumes
Semiring

Around this declaration

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

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Semiringstatement and proof · cited by 13,802
  • pow_zeroproof · cited by 1,094
  • pow_succproof · cited by 374
  • Oddstatement and proof · cited by 364
  • Odd.mulproof · cited by 3

Cited by7

Results whose statement or proof uses this declaration.