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

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

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 + a ') = #(lax + @(m, m0) ') ∧ (∀ n. n < #(x + a ') → (lax + @(m, m0) ')[n].size = (x + a ')[n].flashsize) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize) ∧ m0 = a.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 + @(m, m0) ', x + a '] flags: <all paths>

Additional information

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