Theorems · Theorem · order theory
Antitone.le_map_iInf
∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_4} [inst : CompleteLattice α] {s : ι → α} [inst_1 : CompleteLattice β]
{f : α → β}, Antitone f → ⨆ i, f (s i) ≤ f (iInf s)- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement · cited by 2,415
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- Antitonestatement and proof · cited by 563
- Antitone.dual_leftproof · cited by 33
- Monotone.le_map_iSupproof · cited by 8
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