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Theorems · Theorem · general topology

IsMinOn.isExtr

∀ {α : Type u} {β : Type v} [inst : Preorder β] {f : α → β} {s : Set α} {a : α}, IsMinOn f s a → IsExtrOn f s a
Defined in
Mathlib.Order.Filter.Extr
Cited by
6 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsMinOn.hasLineDerivAt_eq_zero · cited by 0IsMinOn.hasLineDerivAt_eq…IsMinOn.hasLineDerivWithinAt_eq_zero · cited by 0IsMinOn.hasLineDerivWithi…IsMinOn.lineDeriv_eq_zero · cited by 0IsMinOn.lineDeriv_eq_zeroIsMinOn.lineDerivWithin_eq_zero · cited by 0IsMinOn.lineDerivWithin_e…IsExtrOn.neg · cited by 0IsExtrOn.negIsExtrOn.on_preimage · cited by 0IsExtrOn.on_preimageSet · cited by 53352SetPreorder · cited by 7952PreorderIsMinOn · cited by 96IsMinOnIsExtrOn · cited by 30IsExtrOnIsMinFilter.isExtr · cited by 9IsMinFilter.isExtrIsMinOn.isExtrCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.