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Proof step 44 from proof compat-addobj (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
st[_mode] = throw(r0, ty), st[r0 -- _type] = typeval(ty0), r0 ∈ st, asgcomp(str, refval(r0), ty, st), is_reftype(ty0), r0 -- _type ∈ st, okval(refval(r0), ty), ty ≤ mkclasstype(`java.lang.Throwable' .class), is_predefined_class(class), newref(r, st), _mode ∈ st, compatstatic(str, st), compatrefs(str, st), is_classtype(ty0) → class+∃(str, ty0 .class), has_classtype(ty0) → tdname+∃(str, ty0 .jtelemtype .class), has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class) ⊦ r = jvmref, r0 = jvmref, (ty = void_type ∨ is_reftype(ty)) ∧ is_typevalue(st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) ∧ is_reftype((st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type) ∧ ( has_classtype((st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type) → class∃(str, (st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type .jtelemtype .class) ∨ interface∃(str, (st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type .jtelemtype .class) ∨ is_predefined_class((st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type .jtelemtype .class)) ∧ ( is_classtype((st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type) → class+∃(str, (st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type .class)) ∧ is_subtype(str, (st[r -- _type, typeval(mkclasstype(class))][r0 -- _type]) .type, ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ asgcomp(str, val, ty, st) ↔ ¬ is_referencevalue(val) ∨ val .refval = jvmref ∨ is_subtype (str, st[val .refval -- _type] .type, ty)], [CSIMPSEQ : ⊦ tdname∃(str, class) ↔ class∃(str, class) ∨ interface∃(str, class)], [CSIMPSEQ : ⊦ tdname+∃(str, class) ↔ tdname∃(str, class) ∨ is_predefined_class(class)], [CSIMPSEQ : ⊦ newref(r, st) ∧ r0 ∈ st → r ≠ r0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)])]]