Theorems · Theorem · order theory
ENat.mul_iSup
∀ {ι : Sort u_2} (a : ℕ∞) (f : ι → ℕ∞), a * ⨆ i, f i = ⨆ i, a * f i- Defined in
- Mathlib.Data.ENat.Lattice
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- iSupstatement and proof · cited by 2,415
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- LE.le.trans_ltproof · cited by 795
- IsEmptyproof · cited by 759
- LT.lt.trans_leproof · cited by 678
- Eq.leproof · cited by 605
- mul_le_mul'proof · cited by 274
- isEmpty_or_nonemptyproof · cited by 269
Cited by3
Results whose statement or proof uses this declaration.
- ENat.mul_sSupproof · cited by 1
- ENat.smul_iSupproof · cited by 1
- ENat.iSup_mulproof · cited by 0