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Proof step 29 from proof addarray-identity (previous step)

st[r -- _type] .type = mkarraytype(ty), is_array(r, st), 0 ≤ i, i < st[r -- _length] .intval, 0 ≤ st[r -- _length] .intval, 0 < st[r -- _length] .intval ⊦ getarray(r, st) = [], r -- i ' ∈ st ∧ (getarray(r, st)[i→n(i)]) = st[r -- i ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ n < # getarray(r, st) → (getarray(r, st)[n]) = st[r -- n→i(n) ']
Proof step 22:
¬ i→n(i) < # getarray(r, st), st[r -- _type] .type = mkarraytype(ty), is_array(r, st), 0 ≤ i, i < st[r -- _length] .intval, 0 ≤ st[r -- _length] .intval, 0 < st[r -- _length] .intval ⊦ getarray(r, st) = [], r -- i ' ∈ st ∧ (getarray(r, st)[i→n(i)]) = st[r -- i ']
Proof step 28:
i→n(i) < # getarray(r, st), st[r -- _type] .type = mkarraytype(ty), is_array(r, st), 0 ≤ i, i < st[r -- _length] .intval, 0 ≤ st[r -- _length] .intval, 0 < st[r -- _length] .intval ⊦ getarray(r, st) = [], r -- i ' ∈ st ∧ st[r -- n→i(i→n(i)) '] = st[r -- i ']

Rule argument

[speclemmaarg: ,n < # getarray(r, st) → (getarray(r, st)[n]) = st[r -- n→i(n) '] ,[n, st, r] → [i→n(i), st, r] ,F ,storearrays , ,getarray-get ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i→n(i), st, r)]]