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Proof step 12 from proof inv-flashsize-append (previous step)

# x = # lax, lax[n] = @(m1, m2), ∀ n. ¬ # lax < n → (lax + @(m, m0) ')[n].size = (x + a ')[n].flashsize ⊦ (n < # lax → m2 = x[n].flashsize) ∧ m0 = a.flashsize

User applied rule case distinction

And obtained the following new goals

Proof step 13:
# x = # lax, lax[n] = @(m1, m2), n < # lax, ∀ n. ¬ # lax < n → (lax + @(m, m0) ')[n].size = (x + a ')[n].flashsize ⊦ m2 = x[n].flashsize
Proof step 18:
# x = # lax, lax[n] = @(m1, m2), ∀ n. ¬ # lax < n → (lax + @(m, m0) ')[n].size = (x + a ')[n].flashsize ⊦ m0 = a.flashsize

Rule argument

pos: right 1

Proof step 12 from proof inv-flashsize-append (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information