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Proof step 12 from proof putar-inother (previous step)

i < j ∨ n→i(# vals) + j ≤ i ⊦ r0 -- i ' ∈ putArray(vals, r, j, st) ↔ r0 -- i ' ∈ st

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ putArray([], r, i, st) = st
Proof step 11:
∀ i, j, r0, r, st. i < j ∨ n→i(# vals0) + j ≤ i → (r0 -- i ' ∈ putArray(vals0, r, j, st) ↔ r0 -- i ' ∈ st) ⊦ i < j ∨ n→i(# (val + vals0)) + j ≤ i → (r0 -- i ' ∈ putArray(val + vals0, r, j, st) ↔ r0 -- i ' ∈ st)

Rule argument

[VARWITHFMAVARSARG : vals, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javavalues generated by [], +;])]]