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Proof step 2 from proof to-adrs-eq-empty (previous step)

lax.to-adr(n) = [] ⊦ lax = []

Heuristic structural induction applied rule structural induction

And closed the goal!

Rule argument

term: lax

Additional information

Used simplifier rules: adrs-rec: ⊦ (ladr ' + lax).to-adr(n) = @(n, ladr.off, ladr.size) + lax.to-adr(n);%laddress-list freely generated by [], +;;% ⊦ ladr + lax = ladr ' + lax; (s)% ⊦ adr + ax = adr ' + ax; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ ax + ax0 = [] ↔ ax = [] ∧ ax0 = []; (as)% ⊦ adr ' ≠ []; (s)%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]