Mathlib Map

Theorems · Definition · order theory

AddMonoidHom.withBotMap

{M : Type u_1} →
  {N : Type u_2} → [inst : AddZeroClass M] → [inst_1 : AddZeroClass N] → (M →+ N) → WithBot M →+ WithBot N

A version of WithBot.map for AddMonoidHoms.

Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddMonoidHom.withBotMap_apply · cited by 0AddMonoidHom.withBotMap_a…DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomWithBot · cited by 1498WithBotAddZeroClass · cited by 1237AddZeroClassAddHom · cited by 294AddHomZeroHom · cited by 161ZeroHomWithBot.map · cited by 66WithBot.mapAddMonoidHom.toZeroHom · cited by 61AddMonoidHom.toZeroHomAddMonoidHom.toAddHom · cited by 9AddMonoidHom.toAddHomAddHom.withBotMap · cited by 3AddHom.withBotMapZeroHom.withBotMap · cited by 1ZeroHom.withBotMapAddMonoidHom.withBotMapCITED BYCITES

Cites11

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

Cited by1

Results whose statement or proof uses this declaration.