Mathlib Map

Theorems · Definition · number theory

Odd

{α : Type u_2} → [Semiring α] → α → Prop

An element a of a semiring is odd if there exists k such a = 2*k + 1.

Defined in
Mathlib.Algebra.Ring.Parity
Cited by
364 results in Mathlib
Foundations
Depth 19 from the axioms, rests on 166 definitions · uses propext
Assumes
Semiring

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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

Cited by378

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 378.