Theorems · Definition · order theory
TopHomClass.toTopHom
{F : Type u_1} →
{α : Type u_2} →
{β : Type u_3} → [inst : FunLike F α β] → [inst_1 : Top α] → [inst_2 : Top β] → [TopHomClass F α β] → F → TopHom α βTurn an element of a type F satisfying TopHomClass F α β into an actual
TopHom. This is declared as the default coercion from F to TopHom α β.
- Defined in
- Mathlib.Order.Hom.Bounded
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- FunLikeTopTopTopHomClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- Topstatement and proof · cited by 93
- TopHomstatement · cited by 37
- TopHomClass.map_topproof · cited by 14
- TopHomClassstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- BoundedOrderHom.coe_comp_topHomstatement · cited by 0