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Proof step 17 from proof sharing-twopaths (previous step)

# sks1 = # refs0, st[r -- sks] = refval(r0), st[r -- sks0] = refval(refs0 .last), st[r0 -- sks1] = refval(refs0 .last), fits(r0, sks1, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(r, sks0, st) ⊦ refs0 .last = jvmref, r0 = jvmref, sks0 = [], sks = [], sks = sks0, r = jvmref, refs0 = [], sks + sks1 = sks0, sks ⊑ sks0, st[r -- (sks + sks1)] = refval(refs0 .last) ∧ st[r -- (sks + sks1)] .refval ≠ jvmref ∧ fits(r, sks + sks1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ sks ≠ [] ∧ sks0 ≠ [] → st[r -- (sks + sks0)] = st[st[r -- sks] .refval -- sks0]
Proof step 16:
sks ≠ [] ∧ sks1 ≠ [], # sks1 = # refs0, st[r -- sks] = refval(r0), st[r -- sks0] = refval(refs0 .last), st[r0 -- sks1] = refval(refs0 .last), fits(r0, sks1, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(r, sks0, st) ⊦ refs0 .last = jvmref, r0 = jvmref, sks0 = [], sks = [], sks = sks0, r = jvmref, refs0 = [], sks + sks1 = sks0, sks ⊑ sks0, st[st[r -- sks] .refval -- sks1] = refval(refs0 .last) ∧ st[st[r -- sks] .refval -- sks1] .refval ≠ jvmref ∧ fits(r, sks + sks1, st)

Rule argument

[speclemmaarg: , sks ≠ [] ∧ sks0 ≠ [] → st[r -- (sks + sks0)] = st[st[r -- sks] .refval -- sks0] ,[sks0, sks, r, st] → [sks1, sks, r, st] ,F ,storefuns , ,lookup-append ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ st[r -- []] = refval(r)], [CSIMPSEQ : ⊦ refval(r) = refval(r0) ↔ r = r0], [CSIMPSEQ : ⊦ # [] = 0], [CSIMPSEQ : ⊦ # refs = 0 ↔ refs = []])], [EXTRATERMS : (sks1, sks, r, st)]]