Theorems · Theorem · real analysis
EReal.monotone_div_right_of_nonneg
∀ {b : EReal}, 0 ≤ b → Monotone fun a => a / b- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 134 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.
- Monotonestatement · cited by 1,397
- ERealstatement and proof · cited by 793
- mul_le_mul_of_nonneg_rightproof · cited by 301
- EReal.inv_nonneg_of_nonnegproof · cited by 6
Cited by11
Results whose statement or proof uses this declaration.
- LinearGrowth.linearGrowthInf_eventually_monotoneproof · cited by 5
- EReal.div_le_div_right_of_nonnegproof · cited by 4
- ExpGrowth.expGrowthSup_eventually_monotoneproof · cited by 3
- ExpGrowth.expGrowthInf_eventually_monotoneproof · cited by 3
- LinearGrowth.linearGrowthSup_eventually_monotoneproof · cited by 3
- ExpGrowth.expGrowthSup_supproof · cited by 2
- Dynamics.coverEntropyEntourage_le_log_coverMincard_divproof · cited by 2
- LinearGrowth.linearGrowthInf_infproof · cited by 1
- ExpGrowth.expGrowthInf_infproof · cited by 1
- Dynamics.IsDynCoverOf.coverEntropyEntourage_le_log_card_divproof · cited by 1
- LinearGrowth.linearGrowthSup_supproof · cited by 1