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

# x = # lax, n ≤ # lax, ∀ n. n < # lax → lax[n].size = x[n].flashsize ⊦ inv-flashsize(prefixn(n, x), prefixn(n, lax))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize)
Proof step 8:
# x = # lax, n ≤ # lax, ∀ n. n < # lax → lax[n].size = x[n].flashsize ⊦ # prefixn(n, x) = # prefixn(n, lax) ∧ (∀ n0. n0 < # prefixn(n, x) → prefixn(n, lax)[n0].size = prefixn(n, x)[n0].flashsize)

Rule argument

spec: <toplevel> name: inv-flashsize seq: ⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize) subst: [lax, x] → [prefixn(n, lax), prefixn(n, x)] flags: <all paths>

Additional information

Used terms: prefixn(n, lax), prefixn(n, x)