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If A is a subset of B (not necessarily proper) and B is a subset of C (not necessarily proper) the A is a proper subset of C

If A is a subset of B (not necessarily proper) and B is a subset of C (not necessarily proper) the A is a proper subset of C.

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if false must provide a counterexample
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A: {apple, orange, pineapple}
B: {apple, orange, pineapple}
C: {apple, orange, pineapple}

A⊆B ∧ B⊆C -> A⊂C

Is this true or false?
answered by: b renda
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If A is a subset of B (not necessarily proper) and B is a subset of C (not necessarily proper) the A is a proper subset of C
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