Theorems · Definition · general topology
ContinuousAddMonoidHom.compLeft
{A : Type u_2} →
{B : Type u_3} →
(E : Type u_6) →
[inst : AddMonoid A] →
[inst_1 : AddMonoid B] →
[inst_2 : AddCommGroup E] →
[inst_3 : TopologicalSpace A] →
[inst_4 : TopologicalSpace B] →
[inst_5 : TopologicalSpace E] → [inst_6 : IsTopologicalAddGroup E] → (A →ₜ+ B) → (B →ₜ+ E) →ₜ+ A →ₜ+ EContinuousAddMonoidHom _ f is a functor.
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- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommGroupstatement and proof · cited by 12,871
- AddMonoidstatement and proof · cited by 2,864
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContinuousAddMonoidHomstatement and proof · cited by 77
- ContinuousAddMonoidHom.compproof · cited by 10
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