Theorems · Theorem · real analysis
ENNReal.cinfi_ne_top
∀ {α : Type u_1} [inst : InfSet α] (f : ENNReal → α), ⨅ x, f ↑x = ⨅ x, f ↑x- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InfSet
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- Equiv.symmproof · cited by 3,681
- iInfstatement · cited by 1,690
- ENNReal.ofNNRealstatement · cited by 1,279
- Equiv.surjectiveproof · cited by 198
- InfSetstatement and proof · cited by 145
- Function.Surjective.iInf_congrproof · cited by 11
- ENNReal.neTopEquivNNRealproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.iInf_ne_topproof · cited by 2
- ENNReal.csupr_ne_topproof · cited by 0