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Proof step 50 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), compat(str, refval(r0), ty, st), has_classtype(ty) → tdname+∃(str, ty .jtelemtype .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))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ compat(str, val, ty, st) ↔ okval(val, ty) ∧ ( is_referencevalue(val) ∧ val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ is_reftype(st[val .refval -- _type] .type) ∧ (has_classtype(st[val .refval -- _type] .type) → tdname+∃(str, st[val .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[val .refval -- _type] .type) → class+∃(str, st[val .refval -- _type] .type .class)) ∧ asgcomp(str, val, ty, st))
Proof step 49:
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) ∧ ( is_referencevalue(refval(r0)) ∧ refval(r0) .refval ≠ jvmref → refval(r0) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r0) .refval -- _type]) ∧ is_reftype(st[refval(r0) .refval -- _type] .type) ∧ (has_classtype(st[refval(r0) .refval -- _type] .type) → tdname+∃(str, st[refval(r0) .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[refval(r0) .refval -- _type] .type) → class+∃(str, st[refval(r0) .refval -- _type] .type .class)) ∧ asgcomp(str, refval(r0), ty, st)), has_classtype(ty) → tdname+∃(str, ty .jtelemtype .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

[crewrite-arg: value-compat , F , [st, ty, val, str] → [st, ty, refval(r0), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, refval(r0), str)]]