Mathlib Map

Theorems · Definition · order theory

IsStrictTotalOrder.recOn

{α : Sort u_1} →
  {lt : α → α → Prop} →
    {motive : IsStrictTotalOrder α lt → Sort u} →
      (t : IsStrictTotalOrder α lt) →
        ([toTrichotomous : Std.Trichotomous lt] → [toIsStrictOrder : IsStrictOrder α lt] → motive ⋯) → motive t
Defined in
Mathlib.Order.Defs.Unbundled
Cited by
0 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsStrictOrder · cited by 28IsStrictOrderIsStrictTotalOrder · cited by 10IsStrictTotalOrderIsStrictTotalOrder.recOnCITED BYCITES

Cites2

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.