Theorems · Theorem · number theory
Odd.sub_odd
∀ {α : Type u_2} [inst : Ring α] {a b : α}, Odd a → Odd b → Even (a - b)- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 47 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
- sub_eq_add_negproof · cited by 1,023
- Evenstatement and proof · cited by 444
- Oddstatement and proof · cited by 364
- Odd.add_oddproof · cited by 6
- Odd.negproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- odd_add_oneproof · cited by 1
- Int.two_pow_sub_pow'proof · cited by 1
- even_sub_oneproof · cited by 0