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Proof step 10 from proof lebs-idexpt-below (previous step)

# avol1 = # avol0, lebs(avol1, m0, m) = lebs(avol0, m0, m), n < m0, m0 + m < # avol0, ∀ m. m < # avol0 ∧ m ≠ n → avol1[m] = avol0[m] ⊦ (avol1[m0 + m].mapped? ⊃ avol1[m0 + m].data + mkempbuf(LEB_SIZE - # avol1[m0 + m].data);mkempbuf(LEB_SIZE)) = (avol0[m0 + m].mapped? ⊃ avol0[m0 + m].data + mkempbuf(LEB_SIZE - # avol0[m0 + m].data);mkempbuf(LEB_SIZE))

User applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: m0 + m abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ ¬ m + n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: m0 + m