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Proof step 14 from proof subset-size (previous step)

⊦ st ⊆ st0[a, d] ↔ st ⊆ st0 ∧ ¬ a ∈ st ∨ a × d ∈ st ∧ st -- a ⊆ st0 -- a

Lemma subset-put-01