Mathlib Map

Theorems · Theorem · order theory

OrderHom.comp_const

∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (γ : Type u_6) [inst_2 : Preorder γ]
  (f : α →o β) (c : α), f.comp ((OrderHom.const γ) c) = (OrderHom.const γ) (f c)
Defined in
Mathlib.Order.Hom.Basic
Cited by
0 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
PreorderPreorderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderOrderHom · cited by 934OrderHomOrderHom.comp · cited by 61OrderHom.compOrderHom.const · cited by 8OrderHom.constOrderHom.comp_constCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.