Theorems · Theorem · order theory
OrderBot.lowerBounds_univ
∀ {γ : Type u_3} [inst : PartialOrder γ] [inst_1 : OrderBot γ], lowerBounds 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
- PartialOrderOrderBot
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement and proof · cited by 4,720
- Set.univstatement · cited by 3,945
- OrderBotstatement and proof · cited by 1,055
- lowerBoundsstatement · cited by 212
- Set.Iic_botproof · cited by 7
- isLeast_univproof · cited by 3
- IsLeast.lowerBounds_eqproof · cited by 1
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