Mathlib Map

Theorems · Definition · order theory

WithTop.recTopCoe

{α : Type u_1} → {C : WithTop α → Sort u_2} → C ⊤ → ((a : α) → C ↑a) → (n : WithTop α) → C n

Recursor for WithTop using the preferred forms and ↑a.

Defined in
Mathlib.Order.TypeTags
Cited by
107 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 12 definitions · uses no axioms

Around this declaration

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

Cites3

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

  • Top.topstatement and proof · cited by 9,680
  • WithTopstatement and proof · cited by 3,754
  • WithTop.somestatement and proof · cited by 1,128

Cited by114

Results whose statement or proof uses this declaration.