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Proof step 12 from proof mapped-full-idexpt-below (previous step)

# avol1 = # avol0, n + 1 < m0 + m1, n + 1 < # avol0, n < m0, n0 < m0 + m1, n < n0, n0 < # avol0, m0 < # avol0, n < m0 + m1, n < # avol0, m0 ≤ n0, ∀ m. m < # avol0 ∧ m ≠ n → avol1[m] = avol0[m], ∀ n0. m0 ≤ n0 ∧ n0 < m0 + m1 ∧ n0 < # avol0 → avol0[n0].mapped? ∧ # avol0[n0].data = LEB_SIZE ⊦ m1 = 0, avol1[n0].mapped? ∧ # avol1[n0].data = LEB_SIZE

User applied rule all left

And obtained the following new goals

Proof step 13:
# avol1 = # avol0, n < # avol0, n < m0 + m1, m0 < # avol0, n0 < # avol0, n < n0, n0 < m0 + m1, n < m0, n + 1 < # avol0, n + 1 < m0 + m1, m0 ≤ n0, m0 ≤ n0 ∧ n0 < m0 + m1 ∧ n0 < # avol0 → avol0[n0].mapped? ∧ # avol0[n0].data = LEB_SIZE, ∀ m. m < # avol0 ∧ m ≠ n → avol1[m] = avol0[m] ⊦ m1 = 0, avol1[n0].mapped? ∧ # avol1[n0].data = LEB_SIZE

Rule argument

pos: left 13 terms: n0 abort: F discard: T computed: T

Additional information

Used terms: n0