Mathlib Map

Theorems · Definition · order theory

WithTop.map

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

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

Defined in
Mathlib.Order.WithBot
Cited by
68 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.

ENat.map · cited by 31ENat.mapWithTop.map_id · cited by 9WithTop.map_idOrderIso.withTopCongr · cited by 6OrderIso.withTopCongrWithTop.map_coe · cited by 5WithTop.map_coeEquiv.withTopCongr · cited by 5Equiv.withTopCongrWithTop.map_comp_map · cited by 4WithTop.map_comp_mapWithTop.map_eq_some_iff · cited by 4WithTop.map_eq_some_iffWithTop.map_map · cited by 4WithTop.map_mapWithTop.some_eq_map_iff · cited by 4WithTop.some_eq_map_iffInfHom.withTop · cited by 3InfHom.withTopSupHom.withTop · cited by 3SupHom.withTopWithTop.monotone_map_iff · cited by 2WithTop.monotone_map_iffWithTop.strictMono_map_iff · cited by 2WithTop.strictMono_map_iffWithTop.subtypeOrderIso · cited by 2WithTop.subtypeOrderIsoMonoidWithZeroHom.withTopMap · cited by 2MonoidWithZeroHom.withTop…WithTop · cited by 3754WithTopWithTop.mapCITED BYCITES

Cites1

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Cited by81

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