Theorems · Theorem · number theory
Num.cast_bit1
∀ {α : Type u_1} [inst : NonAssocSemiring α] (n : Num), ↑n.bit1 = 2 * ↑n + 1- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocSemiringstatement and proof · cited by 805
- Numstatement and proof · cited by 117
- castNumstatement and proof · cited by 72
- Num.bit0proof · cited by 9
- Num.bit1statement · cited by 8
- Num.cast_bit0proof · cited by 3
- Num.bit0_of_bit0proof · cited by 2
- Num.cast_addproof · cited by 2
- Num.bit1_of_bit1proof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- PosNum.divMod_to_natproof · cited by 2
- PosNum.divMod_to_nat_auxproof · cited by 1