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Proof step 34 from proof compat-addobj (previous step)

r0 -- _type ≠ r -- _type, 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_reftype(ty0), r0 ∈ st, ty0 ≤ ty, ty0 ≤ mkclasstype(`java.lang.Throwable' .class), is_classtype(ty0) → class+∃(str, ty0 .class), has_classtype(ty0) → tdname+∃(str, ty0 .jtelemtype .class), has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class) ⊦ r0 = jvmref, r = jvmref, (ty = void_type ∨ is_reftype(ty)) ∧ is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type) ∧ (is_classtype(st[r0 -- _type] .type) → class+∃(str, st[r0 -- _type] .type .class)) ∧ st[r0 -- _type] .type ≤ ty ∧ ( has_classtype(st[r0 -- _type] .type) → class∃(str, st[r0 -- _type] .type .jtelemtype .class) ∨ interface∃(str, st[r0 -- _type] .type .jtelemtype .class) ∨ is_predefined_class(st[r0 -- _type] .type .jtelemtype .class)) ∧ (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
st[_mode] = throw(r0, ty), st[r0 -- _type] = typeval(ty0), ty0 ≤ mkclasstype(`java.lang.Throwable' .class), ty0 ≤ ty, r0 ∈ 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), has_classtype(ty) → tdname+∃(str, ty .jtelemtype .class), has_classtype(ty0) → tdname+∃(str, ty0 .jtelemtype .class), is_classtype(ty0) → class+∃(str, ty0 .class) ⊦ r = jvmref, r0 = jvmref, (has_classtype(ty) → class∃(str, ty .jtelemtype .class) ∨ interface∃(str, ty .jtelemtype .class) ∨ is_predefined_class(ty .jtelemtype .class)) ∧ ( has_classtype(typeval(ty0) .type) → class∃(str, typeval(ty0) .type .jtelemtype .class) ∨ interface∃(str, typeval(ty0) .type .jtelemtype .class) ∨ is_predefined_class(typeval(ty0) .type .jtelemtype .class)) ∧ typeval(ty0) .type ≤ ty ∧ (is_classtype(typeval(ty0) .type) → class+∃(str, typeval(ty0) .type .class)) ∧ is_reftype(typeval(ty0) .type) ∧ (ty = void_type ∨ is_reftype(ty))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ newref(r, st) ∧ r0 ∈ st → r ≠ r0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]