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Proof step 6 from proof isprefix-size (previous step)

# lax = # gndx, lax0 + lax1 = lax2 + lax, # lax2 + # gndx < # lax0 ⊦ lax0 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-del, inst: laddress-list name: extension seq: ⊦ lax = lax0 ↔ # lax = # lax0 ∧ (∀ n. n < # lax → lax[n] = lax0[n]) subst: [lax0, lax] → [lax2 + lax, lax0 + lax1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ #(lax + lax0) = # lax + # lax0; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ ¬ m + n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: lax2 + lax, lax0 + lax1