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Proof step 8 from proof intvalues-put-sw (previous step)

m ≤ # vals0, ∀ m0, val1. ¬ # vals0 ≤ m0 → intvalues(vals0[m0, val1]) = (intvalues(vals0)[m0, val1 .intval]) ⊦ m = 0, val0 .intval ' + intvalues(vals0[m - 1, val]) = (val0 .intval ' + intvalues(vals0))[m, val .intval]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
m = m1 + 1, m ≤ # vals0, ∀ m0, val1. ¬ # vals0 ≤ m0 → intvalues(vals0[m0, val1]) = (intvalues(vals0)[m0, val1 .intval]) ⊦ m = 0, val0 .intval ' + intvalues(vals0[m1, val]) = (val0 .intval ' + intvalues(vals0))[m, val .intval]

Rule argument

[speclemmaarg: n ≠ 0 ,m = n - 1 ↔ n = m + 1 ,[n, m] → [m, m1] ,T ,nat , ,elim-pred-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1])], [EXTRATERMS : (m, m1)]]