Theorems · Theorem · order theory
ENat.iInf_eq_top_of_isEmpty
∀ {ι : Sort u_1} {f : ι → ℕ} [IsEmpty ι], ⨅ i, ↑(f i) = ⊤- Defined in
- Mathlib.Data.ENat.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 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.
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- iInfstatement · cited by 1,690
- IsEmptystatement and proof · cited by 759
- ENat.iInf_natCast_eq_topproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.edist_eq_top_of_not_reachableproof · cited by 4
- ENat.iInf_toNatproof · cited by 2