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Proof step 9 from proof pathex-class (previous step)

st[r -- fs '] .refval ≠ jvmref, validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st), is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st) ⊦ r = (st[r -- fs '] .refval ' + refs) .last, st[r -- fs '] .refval ≠ jvmref ∧ (¬ is_valid_ref(str, st[r -- fs '] .refval, st) ∨ ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type), st[r -- fs '] .refval = jvmref ∧ (st[r -- fs '] .refval ' + refs) .last = jvmref, st[r -- fs '] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∧ path∃(str, st[r -- fs '] .refval, (st[r -- fs '] .refval ' + refs) .last, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st), is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), is_valid_ref(str, st[r -- fs '] .refval, st), st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ⊦ r = (st[r -- fs '] .refval ' + refs) .last, st[r -- fs '] .refval = jvmref, path∃(str, st[r -- fs '] .refval, (st[r -- fs '] .refval ' + refs) .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]