Mathlib Map

Theorems · Theorem · order theory

OrderMonoidIso.trans_refl

∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Mul α] [inst_3 : Mul β]
  (f : α ≃*o β), f.trans (OrderMonoidIso.refl β) = f
Defined in
Mathlib.Algebra.Order.Hom.Monoid
Cited by
0 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
PreorderPreorderMulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Preorder · cited by 7952PreorderOrderMonoidIso · cited by 114OrderMonoidIsoOrderMonoidIso.trans · cited by 11OrderMonoidIso.transOrderMonoidIso.refl · cited by 6OrderMonoidIso.reflOrderMonoidIso.trans_reflCITED BYCITES

Cites4

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.