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Proof step 5 from proof lpt-free-unref-replay-log (previous step)

lpt.mapIndices(elems nx, λ lp. mklp(lp.ref-size, LEB_SIZE, LP_GROUP_NODES, lp.gcheapidx))[n] = mklp(m, m0, LP_FREE, m1), n < # lpt, ∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE → lpt[n].ref-size = 0 ⊦ m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ lpt.mapIndices(ns, lptfun)[n] = (n ∈ ns ∧ n < # lpt ⊃ lptfun(lpt[n]);lpt[n])
Proof step 7:
(n ∈ elems nx ∧ n < # lpt ⊃ mklp(lpt[n].ref-size, LEB_SIZE, LP_GROUP_NODES, lpt[n].gcheapidx);lpt[n]) = mklp(m, m0, LP_FREE, m1), n < # lpt, ∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE → lpt[n].ref-size = 0 ⊦ m = 0

Rule argument

spec: array-indices, inst: lp-array name: mapindices-at seq: ⊦ lpt.mapIndices(ns, lptfun)[n] = (n ∈ ns ∧ n < # lpt ⊃ lptfun(lpt[n]);lpt[n]) subst: [n, lptfun, ns, lpt] → [n, λ lp. mklp(lp.ref-size, LEB_SIZE, LP_GROUP_NODES, lp.gcheapidx), elems nx, lpt] flags: <all paths>

Additional information

Used terms: n, λ lp. mklp(lp.ref-size, LEB_SIZE, LP_GROUP_NODES, lp.gcheapidx), elems nx, lpt