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Proof step 13 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)) ∧ ( ¬ 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r -- _type] = typeval(ty), compatmode(str, st), compatstatic(str, st), compatrefs(str, st), class ≤ `java.lang.Throwable' .class, r -- _type ∈ st, is_reftype(ty), r ∈ st, is_subtype(str, ty, mkclasstype(class)), is_classtype(ty) → class+∃(str, ty .class), has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class) ⊦ r = jvmref, class∃(str, class), interface∃(str, class), is_predefined_class(class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tdname∃(str, class) ↔ class∃(str, class) ∨ interface∃(str, class)], [CSIMPSEQ : ⊦ tdname+∃(str, class) ↔ tdname∃(str, class) ∨ is_predefined_class(class)], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ r ≠ jvmref → (st[_mode, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]