Theorems · Theorem · order theory
Set.uIcc_subset_uIcc_iff_mem
∀ {α : Type u_1} [inst : Lattice α] {a₁ a₂ b₁ b₂ : α},
Set.uIcc a₁ b₁ ⊆ Set.uIcc a₂ b₂ ↔ a₁ ∈ Set.uIcc a₂ b₂ ∧ b₁ ∈ Set.uIcc a₂ b₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Lattice
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Latticestatement and proof · cited by 916
- Set.uIccstatement and proof · cited by 393
- Set.left_mem_uIccproof · cited by 17
- Set.right_mem_uIccproof · cited by 13
- Set.uIcc_subset_uIccproof · cited by 6
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