Mathlib Map

Theorems · Definition · order theory

WithBot.recBotCoe

{α : Type u_1} → {C : WithBot α → Sort u_2} → C ⊥ → ((a : α) → C ↑a) → (n : WithBot α) → C n

Recursor for WithBot using the preferred forms and ↑a.

Defined in
Mathlib.Order.TypeTags
Cited by
101 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.

  • Bot.botstatement and proof · cited by 4,720
  • WithBotstatement and proof · cited by 1,498
  • WithBot.somestatement and proof · cited by 541

Cited by104

Results whose statement or proof uses this declaration.