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Theorem recursive-node-property

⊦ recursive-node-property(n, φn) ↔ (∀ r0, r1, H1, map1. [H0 := H1; map0 := map1; copy_node#(r0; r1, map1, H1): n ] φn(r0, r1, H0, H1, map0, map1))