Theorems · Theorem · number theory
Rat.coe_toNNRat
∀ (q : ℚ), 0 ≤ q → ↑q.toNNRat = q
- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRat.caststatement · cited by 235
- max_eq_leftproof · cited by 96
- Rat.toNNRatstatement · cited by 29
Cited by6
Results whose statement or proof uses this declaration.
- Rat.toNNRat_invproof · cited by 2
- Rat.le_toNNRat_iff_coe_leproof · cited by 1
- Rat.toNNRat_lt_iff_lt_coeproof · cited by 0
- NNRat.toNNRat_coe_natproof · cited by 0
- NNRat.toNNRat_prod_of_nonnegproof · cited by 0
- NNRat.toNNRat_sum_of_nonnegproof · cited by 0