Theorems · Theorem · order theory
ENat.sub_iSup
∀ {ι : Sort u_2} {f : ι → ℕ∞} {a : ℕ∞} [Nonempty ι], a ≠ ⊤ → a - ⨆ i, f i = ⨅ i, a - f i- Defined in
- Mathlib.Data.ENat.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- Bot.botproof · cited by 4,720
- iSupstatement · cited by 2,415
- LT.lt.leproof · cited by 2,189
- le_antisymmproof · cited by 2,068
- iInfstatement and proof · cited by 1,690
- le_iSupproof · cited by 207
- iSup_leproof · cited by 190
- Classical.arbitraryproof · cited by 161
- emproof · cited by 115
- iInf_leproof · cited by 104
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