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Proof step 48 from proof compat-addobj (previous step)

st[_mode] = throw(r0, ty), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, newref(r, st), is_predefined_class(class), ty ≤ mkclasstype(`java.lang.Throwable' .class), okval(refval(r0), ty), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_reftype(st[r0 -- _type] .type), asgcomp(str, refval(r0), ty, st), r0 ∈ st, has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class), has_classtype(st[r0 -- _type] .type) → tdname+∃(str, st[r0 -- _type] .type .jtelemtype .class), is_classtype(st[r0 -- _type] .type) → class+∃(str, st[r0 -- _type] .type .class) ⊦ r0 = jvmref, r = jvmref, compat(str, refval(r0), ty, st[r -- _type, typeval(mkclasstype(class))]) ∧ (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 47:
st[r0 -- _type] = typeval(ty0), st[_mode] = throw(r0, ty), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, newref(r, st), is_predefined_class(class), ty ≤ mkclasstype(`java.lang.Throwable' .class), okval(refval(r0), ty), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_reftype(ty0), asgcomp(str, refval(r0), ty, st), r0 ∈ st, has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class), has_classtype(ty0) → tdname+∃(str, ty0 .jtelemtype .class), is_classtype(ty0) → class+∃(str, ty0 .class) ⊦ r0 = jvmref, r = jvmref, compat(str, refval(r0), ty, st[r -- _type, typeval(mkclasstype(class))]) ∧ (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty0)]]