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Proof step 5 from proof booleanarray-get (previous step)

okarray(r, boolean_type, st), r ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, i < st[r -- _length] .intval ⊦ (getarray(r, 0, st[r -- _length] .intval, st)[i→n(i)]) .boolval ↔ st[r -- i '] .boolval, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: storearrays instance-name: lemma-name: get-get antecedent: succedent: n→i(n) < j → (getarray(r, i, j, st)[n]) = st[r -- (i + n→i(n)) '] substlist: [n, st, j, i, r] → [i→n(i), st, st[r -- _length] .intval, 0, r] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : int-abs, , lels-03, ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPNAMEDSEQ : int-abs, , lels, ⊦ ¬ i < j ↔ j ≤ i], [CSIMPNAMEDSEQ : intnat, , i2i-pos-01, ⊦ 0 ≤ i → n→i(i→n(i)) = i], [CSIMPNAMEDSEQ : int-basic2, , ax-04, ⊦ i + 0 = i], [CSIMPNAMEDSEQ : int-basic2, , add-a, ⊦ i + j + i0 = (i + j) + i0], [CSIMPNAMEDSEQ : int-basic2, , add-c, ⊦ i + j = j + i])], [EXTRATERMS : (i→n(i), st, st[r -- _length] .intval, 0, r)]]