Theorems · Theorem · real analysis
EReal.le_sub_iff_add_le
∀ {a b c : EReal}, b ≠ ⊥ ∨ c ≠ ⊥ → b ≠ ⊤ ∨ c ≠ ⊤ → (a ≤ c - b ↔ a + b ≤ c)- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- LT.lt.neproof · cited by 872
- LE.le.trans_ltproof · cited by 795
- ERealstatement and proof · cited by 793
- bot_leproof · cited by 306
- Real.toERealproof · cited by 303
- Ne.lt_topproof · cited by 161
- EReal.recproof · cited by 57
- EReal.bot_addproof · cited by 14
- EReal.add_botproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- EReal.sub_le_iff_le_addproof · cited by 2
- EReal.sub_lt_iffproof · cited by 0