Theorems · Theorem · order theory
ENat.mul_sSup
∀ {s : Set ℕ∞} {a : ℕ∞}, a * sSup s = ⨆ b ∈ s, a * b- Defined in
- Mathlib.Data.ENat.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- ENatstatement and proof · cited by 4,985
- iSupstatement and proof · cited by 2,415
- SupSet.sSupstatement · cited by 954
- sSup_eq_iSupproof · cited by 42
- ENat.mul_iSupproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ENat.sSup_mulproof · cited by 0