Theorems · Theorem · order theory
not_bddBelow_univ
∀ {α : Type u_1} [inst : Preorder α] [NoBotOrder α], ¬BddBelow Set.univ- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderNoBotOrder
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.univstatement · cited by 3,945
- Set.Nonemptyproof · cited by 2,627
- BddBelowstatement · cited by 401
- NoBotOrderstatement and proof · cited by 43
- Set.not_nonempty_emptyproof · cited by 5
- NoBotOrder.lowerBounds_univproof · cited by 1
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