Theorems · Theorem · order theory
Finset.Iic_add_Iic_subset
∀ {α : Type u_1} [inst : Add α] [inst_1 : Preorder α] [inst_2 : DecidableEq α] [AddLeftMono α] [AddRightMono α]
[inst_5 : LocallyFiniteOrderBot α] (a b : α), Finset.Iic a + Finset.Iic b ⊆ Finset.Iic (a + b)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Preorderstatement and proof · cited by 7,952
- AddLeftMonostatement and proof · cited by 687
- AddRightMonostatement and proof · cited by 367
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- Finset.addstatement · cited by 133
- Finset.coe_subsetproof · cited by 93
- Finset.coe_Iicproof · cited by 36
- Finset.coe_addproof · cited by 19
- Set.Iic_add_Iic_subsetproof · cited by 1
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