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Theorems · Theorem · number theory

NNRat.lt_def

∀ {p q : ℚ≥0}, p < q ↔ p.num * q.den < q.num * p.den
Defined in
Mathlib.Data.NNRat.Defs
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NNRat.cast_strictMono · cited by 3NNRat.cast_strictMonoNNRat · cited by 523NNRatNNRat.cast · cited by 235NNRat.castNNRat.num · cited by 53NNRat.numNNRat.den · cited by 51NNRat.denNNRat.num_coe · cited by 14NNRat.num_coeNNRat.coe_lt_coe · cited by 3NNRat.coe_lt_coeNNRat.lt_defCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.