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Proof step 6 from proof inv-flashsize-prepend (previous step)

⊦ #(a ' + x) = #(@(m, m0) ' + lax) ∧ (∀ n. n < #(a ' + x) → (@(m, m0) ' + lax)[n].size = (a ' + x)[n].flashsize) ↔ a.flashsize = m0 ∧ inv-flashsize(x, lax)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ # x = # lax ∧ (∀ n. ¬ # x < n → (@(m, m0) ' + lax)[n].size = (a ' + x)[n].flashsize) ↔ a.flashsize = m0 ∧ inv-flashsize(x, lax)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n + 1 ↔ ¬ n < m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n = m + n0 ↔ n = n0; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ #(ladr ' + lax) = (# lax)+1; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ m +1 = m + 1; (s)% ⊦ #(a ' + x) = (# x)+1; (s)