Theorems · Theorem · order theory
WithTop.map_map
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (h : β → γ) (g : α → β) (a : WithTop α),
WithTop.map h (WithTop.map g a) = WithTop.map (h ∘ g) a- Defined in
- Mathlib.Order.WithBot
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithTopstatement and proof · cited by 3,754
- WithTop.mapstatement · cited by 68
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.withTopCongr_transproof · cited by 1
- WithTop.comp_mapproof · cited by 0
- AddEquiv.withTopCongr_transproof · cited by 0
- LatticeHom.withTopWithBot_compproof · cited by 0