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Theorems · Definition · order theory

WithBot.LT.casesOn

∀ {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
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
LT
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Around this declaration

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

ENat.lift_eq_toNat_of_lt_top · cited by 4ENat.lift_eq_toNat_of_lt_…WithBot.lt_def_aux · cited by 1WithBot.lt_def_auxBot.bot · cited by 4720Bot.botWithBot · cited by 1498WithBotWithBot.some · cited by 541WithBot.someWithBot.LT · cited by 4WithBot.LTLT.casesOnCITED BYCITES

Cites4

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Cited by2

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