Mathlib Map

Theorems · Theorem · general topology

IsExtrOn.elim

∀ {α : Type u} {β : Type v} [inst : Preorder β] {f : α → β} {s : Set α} {a : α} {p : Prop},
  IsExtrOn f s a → (IsMinOn f s a → p) → (IsMaxOn f s a → p) → p
Defined in
Mathlib.Order.Filter.Extr
Cited by
5 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
Preorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Polynomial.Chebyshev.isExtrOn_T_real_iff · cited by 0Chebyshev.isExtrOn_T_real…IsExtrOn.neg · cited by 0IsExtrOn.negIsExtrOn.on_preimage · cited by 0IsExtrOn.on_preimageIsExtrOn.closure · cited by 0IsExtrOn.closureIsExtrOn.comp_mapsTo · cited by 0IsExtrOn.comp_mapsToSet · cited by 53352SetPreorder · cited by 7952PreorderIsMaxOn · cited by 114IsMaxOnIsMinOn · cited by 96IsMinOnIsExtrOn · cited by 30IsExtrOnIsExtrOn.elimCITED BYCITES

Cites5

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
  • IsMaxOnstatement · cited by 114
  • IsMinOnstatement · cited by 96
  • IsExtrOnstatement · cited by 30

Cited by5

Results whose statement or proof uses this declaration.