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Proof step 91 from proof copy-comp (previous step)

i1 + i - i2 = i4, st0[r2 -- _type] = typeval(mkarraytype(ty0)), st0[r2 -- _length] = intval(i0), 0 ≤ i0, r2 -- _length ∈ st0, i2 + i3 ≤ i0, 0 ≤ i2, 0 ≤ i3, r2 -- _type ∈ st0, ty0 ≤ ty, r2 ∈ st0, i < i2 + i3, i2 ≤ i, 0 ≤ i, i < i0, i2 < i0, 0 < i2 + i3, 0 < i0, 0 < i3, r2 -- i ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty) ⊦ r1 = r2, r2 = jvmref, st0[r1 -- i4 '] = st0[r2 -- i ']

User applied rule insert equation

And obtained the following new goals

Proof step 90:
st0[r2 -- _type] = typeval(mkarraytype(ty0)), st0[r2 -- _length] = intval(i0), 0 ≤ i0, r2 -- _length ∈ st0, i2 + i3 ≤ i0, 0 ≤ i2, 0 ≤ i3, r2 -- _type ∈ st0, ty0 ≤ ty, r2 ∈ st0, i < i2 + i3, i2 ≤ i, 0 ≤ i, i < i0, i2 < i0, 0 < i2 + i3, 0 < i0, 0 < i3, r2 -- i ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty) ⊦ r1 = r2, r2 = jvmref, st0[r1 -- (i1 + i - i2) '] = st0[r2 -- i ']

Rule argument

[inserteqarg: pos: left 1,T,T,()]

Additional information

[[CONCRETESIMPRULES : ()]]