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Proof step 18 from proof crash-neutral-unmap (previous step)

# avols[v] = # avols0[v], m0 < # avols0[v], m < # avols0[v], ebm-cons(avols0), ebm-cons(avols), v ∈ avols0, v ∈ avols, ∀ m. m < # avols0[v] ∧ avols[v][m] ≠ unmapped → (avols[v][m] = erased → avols0[v][m] = erased) ∧ (avols[v][m].mapped? → avols0[v][m] = avols[v][m]) ⊦ avols[v][m0] = unmapped, m0 = m, (avols[v][m0] = erased → avols0[v][m0] = erased) ∧ (avols[v][m0].mapped? → avols0[v][m0] = avols[v][m0])

User applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: m0 abort: F discard: T computed: F

Additional information

Used terms: m0