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Proof step 8 from proof validmode-addarray (previous step)

_mode ∈ st, validmode(str, st[_mode], st), newref(r, st) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, r = jvmref, is_break_mode(st[_mode]), is_throw_mode(st[_mode]) ∧ st[_mode] .refval ≠ jvmref ∧ validref(str, st[_mode] .refval, st[_mode] .type, addarray(r, ty, vals, st)) ∧ st[_mode] .type ≤ mkclasstype(`java.lang.Throwable' .class), is_return_mode(st[_mode]) ∧ validref(str, st[_mode] .refval, st[_mode] .type, addarray(r, ty, vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validmode(str, val, st) ↔ val = noval ∨ is_break_mode(val) ∨ val = return(noval, void_type) ∨ is_return_mode(val) ∧ validref(str, val .refval, val .type, st) ∨ is_throw_mode(val) ∧ val .refval ≠ jvmref ∧ validref(str, val .refval, val .type, st) ∧ val .type ≤ mkclasstype(`java.lang.Throwable' .class)
Proof step 7:
_mode ∈ st, st[_mode] = noval ∨ is_break_mode(st[_mode]) ∨ st[_mode] = return(noval, void_type) ∨ is_return_mode(st[_mode]) ∧ validref(str, st[_mode] .refval, st[_mode] .type, st) ∨ is_throw_mode(st[_mode]) ∧ st[_mode] .refval ≠ jvmref ∧ validref(str, st[_mode] .refval, st[_mode] .type, st) ∧ st[_mode] .type ≤ mkclasstype(`java.lang.Throwable' .class), newref(r, st) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, r = jvmref, is_break_mode(st[_mode]), is_throw_mode(st[_mode]) ∧ st[_mode] .refval ≠ jvmref ∧ validref(str, st[_mode] .refval, st[_mode] .type, addarray(r, ty, vals, st)) ∧ st[_mode] .type ≤ mkclasstype(`java.lang.Throwable' .class), is_return_mode(st[_mode]) ∧ validref(str, st[_mode] .refval, st[_mode] .type, addarray(r, ty, vals, st))

Rule argument

[crewrite-arg: validmodeval-def , F , [st, val, str] → [st, st[_mode], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[_mode], str)]]