Theorems · Theorem · number theory
odd_add_two
∀ {α : Type u_2} [inst : Ring α] {a : α}, Odd (a + 2) ↔ Odd a- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- add_assocproof · cited by 746
- Oddstatement and proof · cited by 364
- one_add_one_eq_twoproof · cited by 65
- even_add_oneproof · cited by 1
- odd_add_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- odd_sub_twoproof · cited by 0