Theorems · Theorem · field theory
Real.iInf_of_isEmpty
∀ {ι : Sort u_1} [IsEmpty ι] (f : ι → ℝ), ⨅ i, f i = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsEmpty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- iInfstatement · cited by 1,690
- IsEmptystatement and proof · cited by 759
- Real.sInf_emptyproof · cited by 21
- iInf_of_isEmptyproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Real.iInf_const_zeroproof · cited by 1