Theorems · Definition · order theory

WithBot.LT.recOn

∀ {α : Type u_1} [inst : LT α] {motive : (a a_1 : WithBot α) → a.LT a_1 → Prop} {a a_1 : WithBot α} (t : a.LT a_1),
  (∀ (b : α), motive ⊥ ↑b ⋯) → (∀ {a b : α} (a_2 : a < b), motive ↑a ↑b ⋯) → motive a a_1 t

Defined in: Mathlib.Order.WithBot
Cited by: 0 results in Mathlib
Foundations: Depth 5 from the axioms · uses no axioms
Assumes: LT

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

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