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Proof step 176 from proof compat-addobj (previous step)

st[r0 -- _type] = typeval(ty), is_predefined_class(class), newref(r, st), compatmode(str, st), compatstatic(str, st), r0 -- _type ∈ st, r0 ∈ st, r0 ≠ jvmref ∧ r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) → (is_classtype(st[r0 -- _type] .type) ∧ class+∃(str, st[r0 -- _type] .type .class) → compatobj(str, r0, st)) ∧ ( is_arraytype(st[r0 -- _type] .type) ∧ ( ¬ has_classtype(st[r0 -- _type] .type) ∨ class∃(str, st[r0 -- _type] .type .type .jtelemtype .class) ∨ interface∃(str, st[r0 -- _type] .type .type .jtelemtype .class) ∨ is_predefined_class(st[r0 -- _type] .type .type .jtelemtype .class)) → compatarray(str, r0, st)) ⊦ r = jvmref, r0 = jvmref, (is_classtype(ty) ∧ class+∃(str, ty .class) → compatobj(str, r0, addobj(r, class, [], st))) ∧ (is_arraytype(ty) ∧ (¬ has_classtype(ty) ∨ tdname+∃(str, ty .type .jtelemtype .class)) → compatarray(str, r0, addobj(r, class, [], st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 175:
st[r0 -- _type] = typeval(ty), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), is_classtype(ty) ∧ class+∃(str, ty .class) → compatobj(str, r0, st), is_arraytype(ty) ∧ ( ¬ has_classtype(ty) ∨ class∃(str, ty .type .jtelemtype .class) ∨ interface∃(str, ty .type .jtelemtype .class) ∨ is_predefined_class(ty .type .jtelemtype .class)) → compatarray(str, r0, st) ⊦ r0 = jvmref, r = jvmref, (is_classtype(ty) ∧ class+∃(str, ty .class) → compatobj(str, r0, addobj(r, class, [], st))) ∧ (is_arraytype(ty) ∧ (¬ has_classtype(ty) ∨ tdname+∃(str, ty .type .jtelemtype .class)) → compatarray(str, r0, addobj(r, class, [], st)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]