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Theorems · Theorem · order theory

WithBot.lt_def_aux

∀ {α : Type u_1} [inst : LT α] (a a_1 : WithBot α),
  a.LT a_1 ↔ (∃ b, a = ⊥ ∧ a_1 = ↑b) ∨ ∃ a_2 b, a_2 < b ∧ a = ↑a_2 ∧ a_1 = ↑b
Defined in
Mathlib.Order.WithBot
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
LT
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Around this declaration

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WithBot.lt_def · cited by 2WithBot.lt_defBot.bot · cited by 4720Bot.botWithBot · cited by 1498WithBotWithBot.some · cited by 541WithBot.someWithBot.LT · cited by 4WithBot.LTWithBot.LT.casesOn · cited by 2LT.casesOnWithBot.lt_def_auxCITED BYCITES

Cites5

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Cited by1

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