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Theorem ls-push

⊦ (o[ls(r, x)] * true)[rs, cf, af(r; o)] ∧ (o0[r => a × r0] * true)[rs, cf, af] ∧ o ≠ o0 ∧ (o[ls(r0, x0)] * true)[rs, cf, af] → (x = a ' + x0 ↔ true)

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