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Proof step 16 from proof ex-fits-validrefs-stronger (previous step)

is_obj(str, r, st), st[r -- sk] = refval(r0), st[r -- _type] .type = mkclasstype(class), sk ∈ instfields(class), fits(r0, sks0, st), junkref(str, r0, st), is_obj(str, r, st) ⊦ r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)), validrefs(str, r ' + r0 ' + refs, mkclasstype(class), st) ∧ # refs = # sks0 ∧ (sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
st[r -- _type] .type = mkclasstype(class), st[r -- sk] = refval(r0), is_obj(str, r, st), junkref(str, r0, st), fits(r0, sks0, st), sk ∈ instfields(class) ⊦ r = jvmref, validrefs(str, r ' + r0 ' + refs, mkclasstype(class), st) ∧ # refs = # sks0 ∧ (sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks]), ∃ fs. fs ' ∈ instfields(class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) .class = class])]]