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Proof step 9 from proof prefixn-to-adrs (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⊦ firstn(# lax0, lax0.to-adr(m) + lax1.to-adr(m)) = lax0.to-adr(m)

Rule argument

Additional information

Used simplifier rules: to-adrs-append: ⊦ (lax0 + lax1).to-adr(n) = lax0.to-adr(n) + lax1.to-adr(n);%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)% ⊦ #(lax + lax0) = # lax + # lax0; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]