Theorems · Theorem · real analysis
EReal.inv_neg_of_neg_ne_bot
∀ {a : EReal}, a < 0 → a ≠ ⊥ → a⁻¹ < 0- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Bot.botstatement and proof · cited by 4,720
- Nat.cast_zeroproof · cited by 1,870
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- ne_top_of_ltproof · cited by 50
- EReal.coe_invproof · cited by 11
- inv_lt_zeroproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- EReal.top_div_of_neg_ne_botproof · cited by 0
- EReal.bot_div_of_neg_ne_botproof · cited by 0