Theorems · Theorem · order theory
ite_ne_bot
∀ {α : Type u} [inst : Bot α] {p : Prop} [inst_1 : Decidable p] {a b : α},
(p → a ≠ ⊥) → (¬p → b ≠ ⊥) → (if p then a else b) ≠ ⊥- Defined in
- Mathlib.Order.BoundedOrder.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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- Bot.botstatement and proof · cited by 4,720
- Botstatement and proof · cited by 96
- dite_ne_botproof · cited by 1
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