Theorems · Theorem · order theory
Set.Ioc_inter_Iic
∀ {α : Type u_1} [inst : SemilatticeInf α] (a b c : α), Set.Ioc a b ∩ Set.Iic c = Set.Ioc a (b ⊓ c)- Defined in
- Mathlib.Order.Interval.Set.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeInf
Around this declaration
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Cites8
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
- Set.Ioiproof · cited by 1,463
- Set.Iicstatement and proof · cited by 1,111
- Set.Iocstatement and proof · cited by 971
- SemilatticeInfstatement and proof · cited by 634
- Set.inter_assocproof · cited by 67
- Set.Ioi_inter_Iicproof · cited by 13
- Set.Iic_inter_Iicproof · cited by 9
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