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Proof step 9 from proof inv-flashsize-append (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 10:
# x = # lax, ∀ n. ¬ # lax < n → (lax + @(m, m0) ')[n].size = (x + a ')[n].flashsize ⊦ (∀ n. n < # lax → lax[n].size = x[n].flashsize) ∧ m0 = a.flashsize
Proof step 19:
# x = # lax, m0 = a.flashsize, ∀ n. n < # lax → lax[n].size = x[n].flashsize ⊦ ∀ n. ¬ # lax < n → (lax + @(m, m0) ')[n].size = (x + a ')[n].flashsize

Rule argument

pos: right 1

Proof step 9 from proof inv-flashsize-append (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information