Theorems · Theorem · number theory
Rat.toNNRat_lt_iff_lt_coe
∀ {q : ℚ} {p : ℚ≥0}, 0 ≤ q → (q.toNNRat < p ↔ q < ↑p)- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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.caststatement and proof · cited by 235
- Rat.toNNRatstatement · cited by 29
- Rat.coe_toNNRatproof · cited by 6
- NNRat.coe_lt_coeproof · cited by 3
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