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Proof step 11 from proof getarray-union-03 (previous step)

0 < j, r -- _length ∈ st, j + i ≤ st[r -- _length] .intval, r ∈ st, 0 ≤ i, 0 < j, ∀ i0. ¬ i0 < i ∧ ¬ i + j ≤ i0 → r -- i0 ' ∈ st, ∀ st0, i, st, r, j0. i→n(j0) < i→n(j) → ( true → ( r -- _length ∈ st ∧ 0 ≤ i ∧ j0 ≤ st[r -- _length] .intval - i ∧ (∀ i1. i ≤ i1 ∧ i1 < i + j0 → r -- i1 ' ∈ st) → getarray(r, i, j0, st0 ∪ st) = getarray(r, i, j0, st))) ⊦ (st0 ∪ st)[r -- i '] ' + getarray(r, i + 1, j - 1, st0 ∪ st) = st[r -- i '] ' + getarray(r, i + 1, j - 1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,rk ∈ st0 .keys → (st ∪ st0)[rk] = st0[rk] ,[rk, st0, st] → [r -- i ', st, st0] ,F ,storefunsx , ,union-at-right ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- i ', st, st0)]]