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Proof step 177 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, ∀ r1. r1 ≠ jvmref ∧ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) → (is_classtype(st[r1 -- _type] .type) ∧ class+∃(str, st[r1 -- _type] .type .class) → compatobj(str, r1, st)) ∧ ( is_arraytype(st[r1 -- _type] .type) ∧ ( ¬ has_classtype(st[r1 -- _type] .type) ∨ class∃(str, st[r1 -- _type] .type .type .jtelemtype .class) ∨ interface∃(str, st[r1 -- _type] .type .type .jtelemtype .class) ∨ is_predefined_class(st[r1 -- _type] .type .type .jtelemtype .class)) → compatarray(str, r1, 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)))

User applied rule all left

And obtained the following new goals

Proof step 176:
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)))

Rule argument

[EXRARG : pos: left 8, [extquanttermlist: (r0)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0)]]