Theorems · Theorem · real analysis
ENNReal.iInf_add
∀ {ι : Sort u_1} {f : ι → ENNReal} {a : ENNReal}, iInf f + a = ⨅ i, f i + a- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 1,690
- le_rflproof · cited by 1,558
- add_le_addproof · cited by 666
- iInf_leproof · cited by 104
- le_iInfproof · cited by 102
- tsub_le_iff_rightproof · cited by 49
Cited by7
Results whose statement or proof uses this declaration.
- Metric.infEDist_le_infEDist_add_edistproof · cited by 4
- ENNReal.add_iInfproof · cited by 3
- Metric.edist_le_infEDist_add_ediamproof · cited by 3
- ENNReal.iInf_add_iInfproof · cited by 2
- ENNReal.sub_iInfproof · cited by 2
- ENNReal.le_iInf_add_iInfproof · cited by 0
- ENNReal.sInf_addproof · cited by 0