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Proof step 6 from proof remove-wbufs-rec (previous step)

n0 < # lpt ⊦ lpt.mapIndices(ns ++ n, λ lp. lp.size:= LEB_SIZE)[n0] = lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n, lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n].size:= LEB_SIZE][n0], n ∈ ns

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ lpt.mapIndices(ns, lptfun)[n] = (n ∈ ns ∧ n < # lpt ⊃ lptfun(lpt[n]);lpt[n])
Proof step 8:
n0 < # lpt ⊦ (n0 ∈ ns ++ n ∧ n0 < # lpt ⊃ lpt[n0].size:= LEB_SIZE;lpt[n0]) = lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n, lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n].size:= LEB_SIZE][n0], n ∈ ns

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] → [n0, λ lp. lp.size:= LEB_SIZE, ns ++ n, lpt] flags: <all paths>

Additional information

Used terms: n0, λ lp. lp.size:= LEB_SIZE, ns ++ n, lpt