Theorems · Theorem · general topology
IsExtrOn.comp_mapsTo
∀ {α : Type u} {β : Type v} {δ : Type x} [inst : Preorder β] {f : α → β} {s : Set α} {a : α} {t : Set δ} {g : δ → α}
{b : δ}, IsExtrOn f s a → Set.MapsTo g t s → g b = a → IsExtrOn (f ∘ g) t b- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- Preorder
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.MapsTostatement and proof · cited by 732
- IsMaxOnproof · cited by 114
- IsMinOnproof · cited by 96
- IsExtrOnstatement and proof · cited by 30
- IsExtrOn.elimproof · cited by 5
- IsMinOn.comp_mapsToproof · cited by 2
- IsMaxOn.comp_mapsToproof · cited by 2
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