Theorems · Theorem · order theory
ENat.iSup_add_iSup_le
∀ {ι : Sort u_2} {κ : Sort u_3} {f : ι → ℕ∞} {a : ℕ∞} [Nonempty ι] [Nonempty κ] {g : κ → ℕ∞},
(∀ (i : ι) (j : κ), f i + g j ≤ a) → iSup f + iSup g ≤ a- Defined in
- Mathlib.Data.ENat.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- ENatstatement and proof · cited by 4,985
- iSupstatement and proof · cited by 2,415
- iSup₂_leproof · cited by 96
- ENat.iSup_addproof · cited by 4
- ENat.add_iSupproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ENat.iSup_add_iSupproof · cited by 2