Theorems · Theorem · number theory
Nat.bitwise_bit
∀ {f : Bool → Bool → Bool},
autoParam (f false false = false) Nat.bitwise_bit._auto_1 →
∀ (a : Bool) (m : ℕ) (b : Bool) (n : ℕ),
Nat.bitwise f (Nat.bit a m) (Nat.bit b n) = Nat.bit (f a b) (Nat.bitwise f m n)- Defined in
- Mathlib.Data.Nat.Bitwise
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- add_commproof · cited by 1,535
- two_mulproof · cited by 232
- mul_div_cancel_left₀proof · cited by 111
- Nat.bitstatement and proof · cited by 92
- Nat.bitwise_zero_rightproof · cited by 7
- Nat.bitwise_zero_leftproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- Int.bitwise_bitproof · cited by 4
- Num.castNum_eq_bitwiseproof · cited by 4
- Nat.land_bitproof · cited by 1
- Nat.lor_bitproof · cited by 1
- Nat.ldiff_bitproof · cited by 0
- Nat.xor_bitproof · cited by 0