Theorems · Theorem · order theory
Finset.Ico_add_Icc_subset
∀ {α : Type u_1} [inst : Add α] [inst_1 : PartialOrder α] [inst_2 : DecidableEq α] [AddLeftStrictMono α]
[AddRightStrictMono α] [inst_5 : LocallyFiniteOrder α] (a b c d : α),
Finset.Ico a b + Finset.Icc c d ⊆ Finset.Ico (a + c) (b + d)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Finset.Iccstatement and proof · cited by 348
- AddLeftStrictMonostatement and proof · cited by 203
- AddRightStrictMonostatement and proof · cited by 160
- Finset.addstatement · cited by 133
- Finset.coe_subsetproof · cited by 93
- Finset.coe_Icoproof · cited by 66
- Finset.coe_Iccproof · cited by 60
- Finset.coe_addproof · cited by 19
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