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Proof step 10 from proof Sep-unfold (previous step)

⊦ nP ⊗_(n, m0) * nP ⊗_(n + m0, m + 1) = nP ⊗_(n, m0) * nP(n + m0) * nP ⊗_(n + m0 + 1, m)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: Sep-rec seq: ⊦ nP ⊗_(n, m + 1) = nP(n) * nP ⊗_(n + 1, m) subst: [m, n, nP] → [m, n + m0, nP] flags: <all paths>

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%sep-ass: ⊦ (P0 * P1) * P2 = P0 * P1 * P2; from specification heap-sep%sep-com: ⊦ P0 * P1 = P1 * P0; from specification heap-sep Used terms: m, n + m0, nP