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Proof step 4 from proof inv-flashsize-prepend (previous step)

⊦ inv-flashsize(a ' + x, @(m, m0) ' + lax) ↔ a.flashsize = m0 ∧ inv-flashsize(x, lax)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize)
Proof step 6:
⊦ #(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)

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] → [@(m, m0) ' + lax, a ' + x] flags: <all paths>

Additional information

Used terms: @(m, m0) ' + lax, a ' + x