Theorems · Theorem · real analysis
EReal.le_add_of_forall_gt
∀ {a b c : EReal}, a ≠ ⊥ ∨ b ≠ ⊤ → a ≠ ⊤ ∨ b ≠ ⊥ → (∀ a' > a, ∀ b' > b, c ≤ a' + b') → c ≤ a + b- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ERealstatement and proof · cited by 793
- LT.lt.ne_topproof · cited by 34
- EReal.neg_le_neg_iffproof · cited by 9
- EReal.neg_addproof · cited by 4
- EReal.add_le_of_forall_ltproof · cited by 3
- EReal.le_neg_of_le_negproof · cited by 2
- EReal.lt_neg_of_lt_negproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- EReal.limsup_add_leproof · cited by 4
- EReal.liminf_add_leproof · cited by 2