Theorems · Theorem · number theory
Num.bit_to_nat
∀ (b : Bool) (n : Num), ↑(Num.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.
Cites13
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_assocproof · cited by 746
- two_mulproof · cited by 232
- PosNumproof · cited by 171
- Numstatement and proof · cited by 117
- Nat.bitstatement · cited by 92
- castPosNumproof · cited by 74
- castNumstatement and proof · cited by 72
- Num.casesOnproof · cited by 20
- Num.bit0proof · cited by 9
- Num.bit1proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Num.castNum_eq_bitwiseproof · cited by 4