Theorems · Theorem · real analysis
ENNReal.iInf_ne_top
∀ {α : Type u_1} [inst : CompleteLattice α] (f : ENNReal → α), ⨅ x, ⨅ (_ : x ≠ ⊤), f x = ⨅ x, f ↑x- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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
- Top.topstatement · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- iInfstatement and proof · cited by 1,690
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- CompleteLatticestatement and proof · cited by 1,048
- iInf_subtype'proof · cited by 34
- ENNReal.cinfi_ne_topproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.nhds_top'proof · cited by 1
- ENNReal.iSup_ne_topproof · cited by 0