Theorems · Theorem · number theory
odd_add_one
∀ {α : Type u_2} [inst : Ring α] {a : α}, Odd (a + 1) ↔ Even a- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Evenstatement and proof · cited by 444
- Oddstatement and proof · cited by 364
- eq_sub_iff_add_eqproof · cited by 65
- odd_oneproof · cited by 12
- Even.add_oneproof · cited by 8
- Odd.sub_oddproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- odd_add_twoproof · cited by 1