Theorems · Theorem · number theory
Rat.num_pos
∀ {a : ℚ}, 0 < a.num ↔ 0 < a- Defined in
- Mathlib.Algebra.Order.Ring.Unbundled.Rat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, 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.
- lt_iff_lt_of_le_iff_leproof · cited by 54
- Rat.num_nonposproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Rat.fract_inv_num_lt_num_of_posproof · cited by 1
- Rat.cast_pos_of_posproof · cited by 1