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Proof step 5 from proof idcircle-concrete-write (previous step)

# avol = # avol0[n, aleb], # avol = # avol0, n0 < # avol0, ∀ m0. m0 < # avol ∧ m0 ≠ m → avol[m0] = avol0[n, aleb][m0] ⊦ avol[n0] = avol0[n0], m = n0, n0 = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# avol = # avol0, n0 < # avol0, ∀ m0. m0 < # avol0 ∧ m0 ≠ m → avol[m0] = avol0[n, aleb][m0] ⊦ avol[n0] = avol0[n0], m = n0, n0 = n

Rule argument

Additional information

Used simplifier rules: ⊦ # avol[n, aleb] = # avol; (s)