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Proof step 54 from proof compat-addobj (previous step)

is_throw_mode(st[_mode]), compat(str, refval(st[_mode] .refval), st[_mode] .type, st), is_subtype(str, st[_mode] .type, mkclasstype(`java.lang.Throwable' .class)), is_predefined_class(class), newref(r, st), _mode ∈ st, compatstatic(str, st), compatrefs(str, st) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, r = jvmref, 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) → class∃(str, st[_mode] .type .jtelemtype .class) ∨ interface∃(str, st[_mode] .type .jtelemtype .class) ∨ is_predefined_class(st[_mode] .type .jtelemtype .class))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 53:
st[_mode] = throw(r0, ty), is_throw_mode(st[_mode]), compat(str, refval(r0), ty, st), is_subtype(str, ty, mkclasstype(`java.lang.Throwable' .class)), is_predefined_class(class), newref(r, st), _mode ∈ st, compatstatic(str, st), compatrefs(str, st) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, r = jvmref, r0 = jvmref, compat(str, refval(r0), ty, st[r -- _type, typeval(mkclasstype(class))]) ∧ ty ≤ mkclasstype(`java.lang.Throwable' .class) ∧ (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class))

Rule argument

[speclemmaarg: , is_throw_mode(val) → (r = val .refval ∧ ty = val .type ↔ val = throw(r, ty)) ,[val, r, ty] → [st[_mode], r0, ty] ,T ,javavalue , ,elim-12 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_throw_mode(val) → ( r = val .refval ∧ ty = val .type ↔ val = throw(r, ty))])], [EXTRATERMS : (st[_mode], r0, ty)]]