Theorems · Theorem · number theory
PosNum.bit_to_nat
∀ (b : Bool) (n : PosNum), ↑(PosNum.bit b n) = Nat.bit b ↑n
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
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.
- add_assocproof · cited by 746
- two_mulproof · cited by 232
- PosNumstatement and proof · cited by 171
- Nat.bitstatement · cited by 92
- castPosNumstatement and proof · cited by 74
- PosNum.bitstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Num.castNum_eq_bitwiseproof · cited by 4