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Proof step 22 from proof is_valid_ref-put (previous step)

okval(val, ty), is_obj(r, st) ∨ is_array(r, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]), (¬ class+∃(str, st[r -- _type] .type .class) ∨ is_abstract(st[r -- _type] .type .class) ∨ ¬ is_obj(r, st)) ∧ ( ¬ type∃(str, st[r -- _type] .type) ∨ st[r -- _type] .type .jtelemtype = void_type ∨ st[r -- _type] .type .jtelemtype = abstract_type ∨ ¬ is_array(r, st))

User applied rule case distinction

And obtained the following new goals

Proof step 14:
is_obj(r, st), okval(val, ty) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]), (¬ class+∃(str, st[r -- _type] .type .class) ∨ is_abstract(st[r -- _type] .type .class) ∨ ¬ is_obj(r, st)) ∧ ( ¬ type∃(str, st[r -- _type] .type) ∨ st[r -- _type] .type .jtelemtype = void_type ∨ st[r -- _type] .type .jtelemtype = abstract_type ∨ ¬ is_array(r, st))
Proof step 21:
is_array(r, st), okval(val, ty) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]), (¬ class+∃(str, st[r -- _type] .type .class) ∨ is_abstract(st[r -- _type] .type .class) ∨ ¬ is_obj(r, st)) ∧ ( ¬ type∃(str, st[r -- _type] .type) ∨ st[r -- _type] .type .jtelemtype = void_type ∨ st[r -- _type] .type .jtelemtype = abstract_type ∨ ¬ is_array(r, st))

Rule argument

[CASEDARG : pos: left 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]