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Proof step 20 from proof cyclic-put-badarrayfield (previous step)

is_arraytype(st[r0 -- _type] .type) ⊦ fs ' = _type, fs ' = _length, cyclic(str, r, st[r0 -- fs ', val]) ↔ cyclic(str, r, st), junkref(str, r, st)

User applied rule case distinction

And obtained the following new goals

Proof step 9:
cyclic(str, r, st[r0 -- fs ', val]), is_arraytype(st[r0 -- _type] .type) ⊦ cyclic(str, r, st), fs ' = _type, fs ' = _length, junkref(str, r, st)
Proof step 19:
cyclic(str, r, st), is_arraytype(st[r0 -- _type] .type) ⊦ cyclic(str, r, st[r0 -- fs ', val]), fs ' = _type, fs ' = _length, junkref(str, r, st)

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]