Theorems · Theorem · number theory
Rat.cast_mono
∀ {K : Type u_5} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K], Monotone Rat.cast- Defined in
- Mathlib.Data.Rat.Cast.Order
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Monotonestatement · cited by 1,397
- StrictMono.monotoneproof · cited by 118
- Rat.cast_strictMonoproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Archimedean.ratLt'_bddAboveproof · cited by 4
- MeasureTheory.Measure.iInf_rat_gt_prod_Iicproof · cited by 2
- ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRatproof · cited by 2
- Rat.cast_maxproof · cited by 1
- MeasureTheory.Measure.tendsto_IicSnd_atTopproof · cited by 1
- Rat.cast_minproof · cited by 0