le_trans

∀ {α : Type u_1} [inst : Preorder α] {a b c : α}, a ≤ b → b ≤ c → a ≤ c

The relation ≤ on a preorder is transitive.

Defined in: Mathlib.Order.Defs.PartialOrder
Cited by: 985 results in Mathlib
Foundations: Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Assumes: Preorder

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