Theorems · Theorem · real analysis
EReal.add_le_of_forall_lt
∀ {a b c : EReal}, (∀ a' < a, ∀ b' < b, a' + b' ≤ c) → a + b ≤ c- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- ERealstatement and proof · cited by 793
- le_of_forall_lt_imp_le_of_denseproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- EReal.le_liminf_addproof · cited by 4
- EReal.le_limsup_addproof · cited by 2
- EReal.le_add_of_forall_gtproof · cited by 2