Theorems · Inductive type · number theory
PosNum
Type
The type of positive binary numbers.
``
13 = 1101(base 2) = bit1 (bit0 (bit1 one))
``
- Defined in
- Mathlib.Data.Num.Basic
- Cited by
- 171 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 by290
Results whose statement or proof uses this declaration.
- castPosNumstatement and proof · cited by 74
- castNumproof · cited by 72
- castZNumproof · cited by 41
- Num.casesOnstatement and proof · cited by 20
- Num.toZNumproof · cited by 18
- PosNum.pred'statement and proof · cited by 18
- PosNum.casesOnstatement and proof · cited by 17
- PosNum.brecOnstatement and proof · cited by 16
- PosNum.cast_to_natstatement and proof · cited by 15
- PosNum.succstatement and proof · cited by 14
- Num.toZNumNegproof · cited by 12
- PosNum.belowstatement and proof · cited by 10
Showing the 200 most cited of 290.