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Proof step 60 from proof compat-addobj (previous step)

is_predefined_class(class), newref(r, st), compatmode(str, st[_mode], st), _mode ∈ st, compatstatic(str, st), compatrefs(str, 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 ∧ compat(str, refval(st[_mode] .refval), st[_mode] .type, st[r -- _type, typeval(mkclasstype(class))]) ∧ is_subtype(str, st[_mode] .type, mkclasstype(`java.lang.Throwable' .class)), is_return_mode(st[_mode]) ∧ compat(str, st[_mode] .val, st[_mode] .type, st[r -- _type, typeval(mkclasstype(class))])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ is_subtype(str, ty1, ty2) ↔ ty1 ≤ ty2 ∧ (has_classtype(ty1) → tdname+∃(str, ty1 .jtclass)) ∧ (has_classtype(ty2) → tdname+∃(str, ty2 .jtclass))
Proof step 59:
is_predefined_class(class), newref(r, st), compatmode(str, st[_mode], st), _mode ∈ st, compatstatic(str, st), compatrefs(str, 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 ∧ compat(str, refval(st[_mode] .refval), st[_mode] .type, st[r -- _type, typeval(mkclasstype(class))]) ∧ st[_mode] .type ≤ mkclasstype(`java.lang.Throwable' .class) ∧ (has_classtype(st[_mode] .type) → tdname+∃(str, st[_mode] .type .jtclass)) ∧ (has_classtype(mkclasstype(`java.lang.Throwable' .class)) → tdname+∃(str, mkclasstype(`java.lang.Throwable' .class) .jtclass)), is_return_mode(st[_mode]) ∧ compat(str, st[_mode] .val, st[_mode] .type, st[r -- _type, typeval(mkclasstype(class))])

Rule argument

[speclemmaarg: , is_subtype(str, ty1, ty2) ↔ ty1 ≤ ty2 ∧ (has_classtype(ty1) → tdname+∃(str, ty1 .jtclass)) ∧ (has_classtype(ty2) → tdname+∃(str, ty2 .jtclass)) ,[ty2, ty1, str] → [mkclasstype(`java.lang.Throwable' .class), st[_mode] .type, str] ,F ,typefuns , ,is_subtype-level ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkclasstype(`java.lang.Throwable' .class), st[_mode] .type, str)]]