Theorems · Theorem · real analysis
EReal.sub_neg
∀ {x y : EReal}, x ≠ ⊤ ∨ y ≠ ⊤ → x ≠ ⊥ ∨ y ≠ ⊥ → (x - y < 0 ↔ x < y)- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Bot.botstatement and proof · cited by 4,720
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- EReal.recproof · cited by 57
- EReal.sub_topproof · cited by 8
- EReal.bot_subproof · cited by 7
- EReal.top_subproof · cited by 6
- EReal.sub_botproof · cited by 5
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