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Proof step 7 from proof booleanarray-put (previous step)

i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ (booleanvalues(getarray(r, 0, st[r -- _length] .intval, st))[i→n(i), boolvar]) = booleanvalues(getarray(r, 0, st[r -- _length] .intval, st[r -- i ', boolval(boolvar)]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i ≤ i0 ∧ i0 < i + j → getarray(r, i, j, st[r -- i0 ', val]) = (getarray(r, i, j, st)[i→n(i0 - i), val])
Proof step 6:
0 ≤ i ∧ i < 0 + st[r -- _length] .intval, i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ (booleanvalues(getarray(r, 0, st[r -- _length] .intval, st))[i→n(i), boolvar]) = booleanvalues(getarray(r, 0, st[r -- _length] .intval, st)[i→n(i - 0), boolval(boolvar)])

Rule argument

[x0lemmaarg: spec-name: storearrays instance-name: lemma-name: getarray-put=set antecedent: succedent: i ≤ i0 ∧ i0 < i + j → getarray(r, i, j, st[r -- i0 ', val]) = (getarray(r, i, j, st)[i→n(i0 - i), val]) substlist: [val, i0, st, j, i, r] → [boolval(boolvar), 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, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : int-abs, , zero-gels-04, ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j], [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 : (boolval(boolvar), i, st, st[r -- _length] .intval, 0, r)]]