Mathlib Map

Theorems · Definition · order theory

WithBot.map

{α : Type u_1} → {β : Type u_2} → (α → β) → WithBot α → WithBot β

Lift a map f : α → β to WithBot α → WithBot β. Implemented using Option.map.

Defined in
Mathlib.Order.WithBot
Cited by
66 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MonomialOrder.withBotDegree · cited by 26MonomialOrder.withBotDegr…MonomialOrder.withBotDegree_eq · cited by 12MonomialOrder.withBotDegr…WithBot.map_id · cited by 9WithBot.map_idEquiv.withBotCongr · cited by 5Equiv.withBotCongrWithBot.map_comp_map · cited by 4WithBot.map_comp_mapWithBot.map_eq_some_iff · cited by 4WithBot.map_eq_some_iffWithBot.map_map · cited by 4WithBot.map_mapWithBot.some_eq_map_iff · cited by 4WithBot.some_eq_map_iffInterval.map · cited by 4Interval.mapOrderIso.withBotCongr · cited by 4OrderIso.withBotCongrInfHom.withBot · cited by 3InfHom.withBotWithBot.map_coe · cited by 3WithBot.map_coeAddHom.withBotMap · cited by 3AddHom.withBotMapSupHom.withBot · cited by 3SupHom.withBotWithBot.subtypeOrderIso · cited by 2WithBot.subtypeOrderIsoWithBot · cited by 1498WithBotWithBot.mapCITED BYCITES

Cites1

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

Cited by79

Results whose statement or proof uses this declaration.