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Proof step 3 from proof inv-flashsize-prefix (previous step)

inv-flashsize(x, lax), n ≤ # x ⊦ inv-flashsize(prefixn(n, x), prefixn(n, lax))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize)
Proof step 5:
# x = # lax, n ≤ # x, ∀ n. n < # x → lax[n].size = x[n].flashsize ⊦ inv-flashsize(prefixn(n, x), prefixn(n, lax))

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] → [lax, x] flags: <all paths>

Additional information

Used terms: lax, x