Theorems · Inductive type · number theory
Num
Type
The type of nonnegative binary numbers, using PosNum.
``
13 = 1101(base 2) = pos (bit1 (bit0 (bit1 one)))
``
- Defined in
- Mathlib.Data.Num.Basic
- Cited by
- 117 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by177
Results whose statement or proof uses this declaration.
- castNumstatement and proof · cited by 72
- Num.casesOnstatement and proof · cited by 20
- Num.toZNumstatement and proof · cited by 18
- PosNum.pred'statement · cited by 18
- Num.succstatement and proof · cited by 13
- Num.toZNumNegstatement and proof · cited by 12
- Num.ofNat'statement · cited by 10
- Num.bit0statement and proof · cited by 9
- Num.cast_to_natstatement and proof · cited by 9
- Num.succ'statement and proof · cited by 8
- Num.succ'_to_natstatement and proof · cited by 8
- Num.bit1statement and proof · cited by 8