Theorems · Theorem · real analysis
EReal.inv_nonneg_of_nonneg
∀ {a : EReal}, 0 ≤ a → 0 ≤ a⁻¹- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- EReal.recproof · cited by 57
- inv_nonnegproof · cited by 56
- EReal.coe_invproof · cited by 11
- EReal.coe_nonnegproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- EReal.monotone_div_right_of_nonnegproof · cited by 11
- EReal.add_div_of_nonneg_rightproof · cited by 8
- Monotone.le_linearGrowthSup_compproof · cited by 2
- Monotone.linearGrowthInf_comp_leproof · cited by 2
- EReal.div_nonnegproof · cited by 1
- EReal.div_nonpos_of_nonpos_of_nonnegproof · cited by 0