Theorems · Theorem · order theory
HasSubset.Subset.trans_ssubset
Deprecated since 2026-05-24Use LE.le.trans_ssubset instead.
∀ {α : Type u_1} [UsesSetNotationForOrder α] [inst : Preorder α] {a b c : α}, a ⊆ b → b ⊂ c → a ⊂ cAlias of LE.le.trans_ssubset.
Set notation form of LE.le.trans_lt
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- Mathlib.Order.RelClasses
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- Foundations
- Depth 8 from the axioms · uses no axioms
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- Preorderstatement · cited by 7,952
- LE.le.trans_ssubsetproof · cited by 2
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