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Proof step 54 from proof putByteArray-vals-addarray-01 (previous step)

¬ n < # mkjavavalues(bytes), 0 < n→i(# bytes) + i1 + j, n→i(n) < n→i(# bytes) + i1, # bytes ≤ n, 0 < n→i(# bytes) + i1, 0 ≤ n→i(n) + j, n < i→n(i1) + # bytes, 0 ≤ j + n→i(# bytes) + i1, 0 ≤ n→i(# bytes) + i1, 0 ≤ j, 0 < i1 ⊦ initial_value(byte_type) = (mklist(initial_value(byte_type), i→n(i1))[n - # mkjavavalues(bytes)]), i1 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
0 < n→i(# bytes) + i1 + j, n→i(n) < n→i(# bytes) + i1, # bytes ≤ n, 0 < n→i(# bytes) + i1, 0 ≤ n→i(n) + j, n < i→n(i1) + # bytes, 0 ≤ j + n→i(# bytes) + i1, 0 ≤ n→i(# bytes) + i1, 0 ≤ j, 0 < i1 ⊦ i1 = 0, initial_value(byte_type) = (mklist(initial_value(byte_type), i→n(i1))[n - # bytes])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ m ≤ n → (n < m ↔ false)], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ # mkjavavalues(bytes) = # bytes])]]