Theorems · Theorem · number theory
Rat.toNNRat_eq_zero
∀ {q : ℚ}, q.toNNRat = 0 ↔ q ≤ 0- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRatstatement · cited by 523
- Iff.notproof · cited by 489
- Rat.toNNRatstatement and proof · cited by 29
- Rat.toNNRat_posproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Rat.toNNRat_mulproof · cited by 2
- Rat.toNNRat_invproof · cited by 2
- Rat.le_toNNRat_iff_coe_le'proof · cited by 0
- Rat.toNNRat_of_nonposproof · cited by 0