Theorems · Theorem · order theory
BddAbove.range_comp
Deprecated since 2026-06-07Use BddAbove.range_comp_left instead.
∀ {α : Type u} {β : Type v} {γ : Type u_1} [inst : Preorder β] [inst_1 : Preorder γ] {f : α → β} {g : β → γ},
BddAbove (Set.range f) → Monotone g → BddAbove (Set.range fun x => g (f x))Alias of BddAbove.range_comp_left.
- Defined in
- Mathlib.Order.Bounds.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, 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.
- Preorderstatement · cited by 7,952
- Set.rangestatement · cited by 4,705
- Monotonestatement · cited by 1,397
- BddAbovestatement · cited by 620
- BddAbove.range_comp_leftproof · cited by 3
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