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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ n < # vals → (booleanvalues(vals)[n] ↔ vals[n] .boolval)
Proof step 6:
i→n(i) < # getarray(r, 0, st[r -- _length] .intval, st), okarray(r, boolean_type, st), i < st[r -- _length] .intval, r ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ (getarray(r, 0, st[r -- _length] .intval, st)[i→n(i)]) .boolval ↔ st[r -- i '] .boolval, r = jvmref

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: boolvals-get antecedent: succedent: n < # vals → (booleanvalues(vals)[n] ↔ vals[n] .boolval) substlist: [n, vals] → [i→n(i), getarray(r, 0, st[r -- _length] .intval, st)] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storearrays, , get-length, ⊦ 0 < j → # getarray(r, i, j, st) = i→n(j)], [CSIMPNAMEDSEQ : intnat, , labs, ⊦ i→n(i) < i→n(j) ↔ abs(i) < abs(j)], [CSIMPNAMEDSEQ : int-abs, , absle, ⊦ 0 ≤ i → abs(i) = i], [CSIMPNAMEDSEQ : int-abs, , abs-16, ⊦ 0 < j → abs(j) = j], [CSIMPNAMEDSEQ : int-abs, , lels, ⊦ ¬ i < j ↔ j ≤ i], [CSIMPNAMEDSEQ : int-abs, , lels-03, ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (i→n(i), getarray(r, 0, st[r -- _length] .intval, st))]]