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Proof step 45 from proof sharing-pathex-field-self (previous step)

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(`docs2store', r ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), ∀ n. n ≠ 0 ∧ ¬ # refs0 < n → st[r -- firstn(n, sks)] .refval = (r ' + refs0)[n] ⊦ refs0 .last = jvmref, refs0 = [], fits(st[st[refs0 .last -- fs '] .refval -- sks] .refval, fs ' ' + sks, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
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(`docs2store', r ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), ∀ n. n ≠ 0 ∧ ¬ # refs0 < n → st[r -- firstn(n, sks)] .refval = (r ' + refs0)[n] ⊦ refs0 .last = jvmref, refs0 = [], sks = [], fits(refs0 .last, fs ' ' + sks, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r])]]