Theorems · Theorem · number theory
even_sub_one
∀ {α : Type u_2} [inst : Ring α] {a : α}, Even (a - 1) ↔ Odd a- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringproof · cited by 13,802
- Ringstatement and proof · cited by 7,463
- Evenstatement and proof · cited by 444
- Oddstatement and proof · cited by 364
- sub_add_cancelproof · cited by 344
- odd_oneproof · cited by 12
- Even.add_oddproof · cited by 7
- Odd.sub_oddproof · cited by 3
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