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Proof step 19 from proof putarray-addarray-override (previous step)

# vals0 ≤ i→n(i0), 0 ≤ i0, i→n(i) + # vals ≤ i→n(i0), 0 ≤ i, i→n(i) + # vals ≤ # vals0, 0 ≤ i + n→i(# vals), i0 < n→i(# vals0) ∨ i ≤ i0 ∧ i0 < i + n→i(# vals) ⊦ r -- i0 ' ∈ st

User applied rule case distinction

And obtained the following new goals

Proof step 15:
i0 < n→i(# vals0), # vals0 ≤ i→n(i0), 0 ≤ i0, i→n(i) + # vals ≤ i→n(i0), 0 ≤ i, i→n(i) + # vals ≤ # vals0, 0 ≤ i + n→i(# vals) ⊦ r -- i0 ' ∈ st
Proof step 18:
i ≤ i0 ∧ i0 < i + n→i(# vals), # vals0 ≤ i→n(i0), 0 ≤ i0, i→n(i) + # vals ≤ i→n(i0), 0 ≤ i, i→n(i) + # vals ≤ # vals0, 0 ≤ i + n→i(# vals) ⊦ r -- i0 ' ∈ st

Rule argument

[CASEDARG : pos: left 7, ()]

Additional information

[[CONCRETESIMPRULES : ()]]