Theorems · Theorem · real analysis
EReal.sub_le_iff_le_add
∀ {a b c : EReal}, b ≠ ⊥ ∨ c ≠ ⊤ → b ≠ ⊤ ∨ c ≠ ⊥ → (a - b ≤ c ↔ a ≤ c + b)- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- ERealstatement and proof · cited by 793
- EReal.le_sub_iff_add_leproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- EReal.sub_le_of_le_addproof · cited by 3
- EReal.lt_sub_iff_add_ltproof · cited by 0