Theorems · Theorem · real analysis
ENNReal.iInf_add_iInf
∀ {ι : Sort u_1} {f g : ι → ENNReal}, (∀ (i j : ι), ∃ k, f k + g k ≤ f i + g j) → iInf f + iInf g = ⨅ a, f a + g a- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- le_antisymmproof · cited by 2,068
- iInfstatement and proof · cited by 1,690
- add_le_addproof · cited by 666
- iInf_leproof · cited by 104
- le_iInfproof · cited by 102
- le_iInf₂proof · cited by 67
- iInf_le_of_leproof · cited by 62
- ENNReal.iInf_addproof · cited by 7
- ENNReal.add_iInfproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.iInf_add_iInf_of_monotoneproof · cited by 0
- ENNReal.iInf_sumproof · cited by 0