Theorems · Definition · number theory
NNRat.num
ℚ≥0 → ℕ
The numerator of a nonnegative rational.
- Defined in
- Mathlib.Data.Rat.Init
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRatstatement and proof · cited by 523
- NNRat.castproof · cited by 235
Cited by76
Results whose statement or proof uses this declaration.
- NNRat.cast_defstatement · cited by 17
- NNRat.num_coestatement · cited by 14
- NNRat.cast_nonnegproof · cited by 6
- map_nnratCastproof · cited by 5
- NNRat.inv_defstatement and proof · cited by 3
- NNRat.num_div_denstatement and proof · cited by 3
- NNRat.cast_strictMonoproof · cited by 3
- NNRat.coprime_num_denstatement · cited by 3
- map_nnratCast_smulproof · cited by 2
- NNRat.mul_den_eq_numstatement and proof · cited by 2
- NNRat.num_ne_zerostatement · cited by 2
- NNRat.addSubmonoid_closure_range_powproof · cited by 2