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Proof step 7 from proof inv-flashsize-prepend (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize)
Proof step 9:
⊦ # x = # lax ∧ (∀ n. ¬ # x < n → (@(m, m0) ' + lax)[n].size = (a ' + x)[n].flashsize) ↔ a.flashsize = m0 ∧ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].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] → [lax, x] flags: <all paths>

Additional information

Used terms: lax, x