Theorems · Theorem · number theory
Nat.bitwise_swap
∀ {f : Bool → Bool → Bool}, Nat.bitwise (Function.swap f) = Function.swap (Nat.bitwise f)- Defined in
- Mathlib.Data.Nat.Bitwise
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
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.
- Function.swapstatement and proof · cited by 216
- Nat.bitproof · cited by 92
- Nat.binaryRec'proof · cited by 11
- Nat.bitwise_zero_rightproof · cited by 7
- Nat.bitwise_zero_leftproof · cited by 4
- Nat.bitwise_bit'proof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Nat.bitwise_commproof · cited by 2
- Int.bitwise_diffproof · cited by 2
- Int.bitwise_orproof · cited by 2
- Int.bitwise_andproof · cited by 2