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Proof step 15 from proof newrefs-butlast-01 (previous step)

∀ st. newref_list(m + 1, st) .butlast = newref_list(m, st) ⊦ newref_list(2 + m, st) .butlast = newref(st) ' + newref_list(m, st[newref(st) -- 0 ', noval])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ 0 < n → newref_list(n, st) = newref(st) + newref_list(n -1, st[newref(st) -- 0 ', noval])
Proof step 14:
0 < 2 + m, ∀ st. newref_list(m + 1, st) .butlast = newref_list(m, st) ⊦ (newref(st) + newref_list((2 + m) -1, st[newref(st) -- 0 ', noval])) .butlast = newref(st) ' + newref_list(m, st[newref(st) -- 0 ', noval])

Rule argument

[crewrite-arg: newrefs-rec-01, F, [st, n] → [st, 2 + m]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ 0 < n ↔ n ≠ 0], [CSIMPSEQ : ⊦ m + n = 0 ↔ m = 0 ∧ n = 0], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m])], [EXTRATERMS : (st, 2 + m)]]