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Proof step 3 from proof isarray-length (previous step)

is_array(r, st) ⊦ val2int(st[r -- _length]) = st[r -- _length] .intval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ is_integervalue(val) → val2int(val) = val .intval
Proof step 2:
⊦ is_array(r, st) → is_integervalue(st[r -- _length])

Rule argument

[speclemmaarg: ,is_integervalue(val) → val2int(val) = val .intval ,[val] → [st[r -- _length]] ,F ,valuefuns , ,val2int-int-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_integervalue(val) → val .intval = 0])], [EXTRATERMS : (st[r -- _length])]]