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Proof step 13 from proof prefixn-to-adrs (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ # ax = n → firstn(n, ax) = ax

Rule argument

spec: list-del, inst: address-list-set name: first-all-01 seq: ⊦ # ax = n → firstn(n, ax) = ax subst: [ax, n] → [lax0.to-adr(m), # lax0] flags: <all paths>

Additional information

Used simplifier rules: addresslist-length: ⊦ # lax.to-adr(n) = # lax; Used terms: lax0.to-adr(m), # lax0