Theorems · Theorem · order theory
Finset.Ioi_add_Ici_subset
∀ {α : Type u_1} [inst : Add α] [inst_1 : PartialOrder α] [inst_2 : DecidableEq α] [AddLeftStrictMono α]
[AddRightStrictMono α] [inst_5 : LocallyFiniteOrderTop α] (a b : α), Finset.Ioi a + Finset.Ici b ⊆ Finset.Ioi (a + b)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- PartialOrderstatement and proof · cited by 6,410
- AddLeftStrictMonostatement and proof · cited by 203
- AddRightStrictMonostatement and proof · cited by 160
- Finset.addstatement · cited by 133
- LocallyFiniteOrderTopstatement and proof · cited by 114
- Finset.Ioistatement and proof · cited by 106
- Finset.Icistatement and proof · cited by 105
- Finset.coe_subsetproof · cited by 93
- Finset.coe_Ioiproof · cited by 28
- Finset.coe_Iciproof · cited by 27
- Finset.coe_addproof · cited by 19
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