Theorems · Theorem · order theory
WithBot.le_unbotA_iff
∀ {α : Type u_1} {a : α} [inst : LE α] {x : WithBot α} [inst_1 : Nonempty α], x ≠ ⊥ → (a ≤ x.unbotA ↔ ↑a ≤ x)- Defined in
- Mathlib.Order.WithBot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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 · cited by 541
- WithBot.unbotAstatement · cited by 10
- WithBot.le_unbotD_iffproof · cited by 2
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