Theorems · Inductive type · order theory
TopHom
(α : Type u_6) → (β : Type u_7) → [Top α] → [Top β] → Type (max u_6 u_7)
The type of ⊤-preserving functions from α to β.
- Defined in
- Mathlib.Order.Hom.Bounded
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Topstatement · cited by 93
Cited by58
Results whose statement or proof uses this declaration.
- BoundedOrderHom.compproof · cited by 14
- InfTopHom.compproof · cited by 12
- TopHom.compstatement and proof · cited by 12
- TopHom.idstatement · cited by 8
- BoundedOrderHom.idproof · cited by 8
- BotHom.dualstatement and proof · cited by 6
- TopHom.dualstatement and proof · cited by 6
- TopHom.extstatement and proof · cited by 5
- CoheytingHom.idproof · cited by 4
- InfTopHom.copyproof · cited by 2
- BoundedOrderHom.copyproof · cited by 2
- TopHom.copystatement and proof · cited by 2