Mathlib Map

Theorems · Definition · Lie groups

ContinuousAddMonoidHom.inl

(A : Type u_2) →
  (B : Type u_3) →
    [inst : AddMonoid A] →
      [inst_1 : AddMonoid B] → [inst_2 : TopologicalSpace A] → [inst_3 : TopologicalSpace B] → A →ₜ+ A × B

The continuous homomorphism given by inclusion of the first factor.

Defined in
Mathlib.Topology.Algebra.ContinuousMonoidHom
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidAddMonoidTopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ContinuousAddMonoidHom.inl_toFun · cited by 0ContinuousAddMonoidHom.in…TopologicalSpace · cited by 24529TopologicalSpaceAddMonoid · cited by 2864AddMonoidContinuousAddMonoidHom · cited by 77ContinuousAddMonoidHomContinuousAddMonoidHom.id · cited by 5ContinuousAddMonoidHom.idContinuousAddMonoidHom.prod · cited by 1ContinuousAddMonoidHom.pr…ContinuousAddMonoidHom.inlCITED BYCITES

Cites5

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.