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Proof step 31 from proof sharing-pathex-field-self-01 (previous step)

fs ' ' + sks ≠ [] ∧ fs ' ' + sks ≠ [], st[r -- sks] = refval(refs0 .last), st[refs0 .last -- _type] .type = mkclasstype(class), st[refs0 .last -- fs '] = refval(r), # sks = # refs0, fs ' ∈ instfields(class), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(refs0 .last, (fs ' ' + sks) + fs ' ' + sks, st), ∀ n. n ≠ 0 ∧ ¬ # refs0 < n → st[r -- firstn(n, sks)] .refval = (r ' + refs0)[n] ⊦ refs0 .last = jvmref, refs0 = [], sks = [], refval(refs0 .last) = st[st[refs0 .last -- (fs ' ' + sks)] .refval -- (fs ' ' + sks)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
st[r -- sks] = refval(refs0 .last), st[refs0 .last -- _type] .type = mkclasstype(class), st[refs0 .last -- fs '] = refval(r), # sks = # refs0, fs ' ∈ instfields(class), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(refs0 .last, (fs ' ' + sks) + fs ' ' + sks, st), ∀ n. n ≠ 0 ∧ ¬ # refs0 < n → st[r -- firstn(n, sks)] .refval = (r ' + refs0)[n] ⊦ refs0 .last = jvmref, refs0 = [], sks = [], refval(refs0 .last) = st[st[refs0 .last -- (fs ' ' + sks)] .refval -- (fs ' ' + sks)]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-01, ⊦ sk ' + sks ≠ []])]]