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Proof step 15 from proof compat-throw-02 (previous step)

st[r -- _type] = typeval(ty), compatmode(str, st), compatstatic(str, st), compatrefs(str, st), class ≤ `java.lang.Throwable' .class, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_reftype(ty), r ∈ st, is_classtype(ty) → class+∃(str, ty .class) ⊦ r = jvmref, (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))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
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

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]