Theorems · Theorem · real analysis
EReal.inv_pos_of_pos_ne_top
∀ {a : EReal}, 0 < a → a ≠ ⊤ → 0 < a⁻¹- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 4 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
- Top.topstatement and proof · cited by 9,680
- Nat.cast_zeroproof · cited by 1,870
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- inv_pos_of_posproof · cited by 123
- ne_bot_of_gtproof · cited by 18
- EReal.coe_invproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- EReal.inv_strictAntiOnproof · cited by 2
- EReal.top_div_of_pos_ne_topproof · cited by 1
- EReal.bot_div_of_pos_ne_topproof · cited by 1
- EReal.div_posproof · cited by 0