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Proof step 14 from proof compat-throw-02 (previous step)

st[r -- _type] = typeval(ty), r ∈ st, is_reftype(ty), r -- _type ∈ st, class ≤ `java.lang.Throwable' .class, compatrefs(str, st), compatstatic(str, st), compatmode(str, st), is_classtype(ty) → class+∃(str, ty .class) ⊦ (has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class)) ∧ asgcomp(str, refval(r), mkclasstype(class), st[_mode, throw(r, mkclasstype(class))]) ∧ tdname+∃(str, class) ↔ (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class)) ∧ is_subtype(str, ty, mkclasstype(class)), r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ asgcomp(str, val, ty, st) ↔ ¬ is_referencevalue(val) ∨ val .refval = jvmref ∨ is_subtype(str, st[val .refval -- _type] .type, ty)
Proof step 13:
st[r -- _type] = typeval(ty), r ∈ st, is_reftype(ty), r -- _type ∈ st, class ≤ `java.lang.Throwable' .class, compatrefs(str, st), compatstatic(str, st), compatmode(str, st), is_classtype(ty) → class+∃(str, ty .class) ⊦ (has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class)) ∧ ( ¬ is_referencevalue(refval(r)) ∨ refval(r) .refval = jvmref ∨ is_subtype(str, (st[_mode, throw(r, mkclasstype(class))][refval(r) .refval -- _type]) .type, mkclasstype(class))) ∧ tdname+∃(str, class) ↔ (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class)) ∧ is_subtype(str, ty, mkclasstype(class)), r = jvmref

Rule argument

[speclemmaarg: , asgcomp(str, val, ty, st) ↔ ¬ is_referencevalue(val) ∨ val .refval = jvmref ∨ is_subtype(str, st[val .refval -- _type] .type, ty) ,[st, ty, val, str] → [st[_mode, throw(r, mkclasstype(class))], mkclasstype(class), refval(r), str] ,F ,okfuns , ,asgcomp ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[_mode, throw(r, mkclasstype(class))], mkclasstype(class), refval(r), str)]]