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Proof step 10 from proof prefixn-to-adrs (previous step)

⊦ firstn(# lax0, lax0.to-adr(m) + lax1.to-adr(m)) = lax0.to-adr(m)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-del, inst: address-list-set name: first-append seq: ⊦ m ≤ # ax → firstn(m, ax + ax0) = firstn(m, ax) subst: [ax0, ax, m] → [lax1.to-adr(m), lax0.to-adr(m), # lax0] flags: <all paths>

Additional information

Used simplifier rules: addresslist-length: ⊦ # lax.to-adr(n) = # lax;% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ ¬ n < n; (s) Used terms: lax1.to-adr(m), lax0.to-adr(m), # lax0