Theorems · Theorem · order theory
StrictAnti.minimal_of_maximal_image
∀ {α : Type u} {β : Type v} [inst : LinearOrder α] [inst_1 : Preorder β] {f : α → β},
StrictAnti f → ∀ {a : α}, (∀ (p : β), p ≤ f a) → ∀ (x : α), a ≤ x- Defined in
- Mathlib.Order.Monotone.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
- Assumes
- LinearOrderPreorder
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Preorderstatement and proof · cited by 7,952
- StrictAntistatement and proof · cited by 204
- StrictAnti.le_iff_geproof · cited by 16
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