Theorems · Theorem · number theory
Nat.mod_two_of_bodd
∀ (n : ℕ), n % 2 = n.bodd.toNat
- Defined in
- Mathlib.Data.Nat.Bits
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.bitproof · cited by 92
- Nat.boddstatement and proof · cited by 37
- Nat.bodd_succproof · cited by 11
- Nat.bitCasesOnproof · cited by 8
- Nat.bodd_mulproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Primrec.nat_boddproof · cited by 3
- Nat.bitwise_of_ne_zeroproof · cited by 1
- Nat.testBit_eq_inthproof · cited by 0