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Proof step 8 from proof get-puteq (previous step)

getarray(r, i, j, st) = getarray(r0, i, j, st0) ⊦ ∀ j0. 0 ≤ j0 ∧ j0 < j → (st[r -- sk, val0][r -- (i + j0) ']) = (st0[r0 -- sk, val0][r0 -- (i + j0) '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
getarray(r, i, j, st) = getarray(r0, i, j, st0), 0 ≤ j0, j0 < j, 0 < j ⊦ (((i + j0) ' = sk ⊃ val0; st[r -- (i + j0) '])) = (((i + j0) ' = sk ⊃ val0; st0[r0 -- (i + j0) ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))])]]