Theorems · Theorem · order theory
Finite.ciSup_mono
∀ {α : Type u_1} {ι : Type u_2} [Finite ι] [inst : ConditionallyCompleteLattice α] {f g : ι → α},
(∀ (x : ι), f x ≤ g x) → iSup f ≤ iSup g- Defined in
- Mathlib.Data.Fintype.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- iSupstatement · cited by 2,415
- ConditionallyCompleteLatticestatement and proof · cited by 364
- Finite.bddAbove_rangeproof · cited by 11
- ciSup_monoproof · cited by 9
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