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Proof step 28 from proof rmpos-get (previous step)

m < # y, m1 < # y, m1 ≤ m, m1 < # y ∧ ¬ # y < m → ((a ' + y) -p m)[m1] = (m1 < m ⊃ (a ' + y)[m1];y[m1]), ∀ n, m0. n < # y ∧ ¬ # y < m0 → ((a ' + y) -p m0)[n] = (n < m0 ⊃ (a ' + y)[n];y[n]) ⊦ ((a ' + y) -p m1)[m] = y[m], y = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
((a ' + y) -p m)[m1] = (m1 < m ⊃ (a ' + y)[m1];y[m1]), m1 < # y, m < # y, m1 ≤ m, ∀ n, m0. n < # y ∧ ¬ # y < m0 → ((a ' + y) -p m0)[n] = (n < m0 ⊃ (a ' + y)[n];y[n]) ⊦ ((a ' + y) -p m1)[m] = y[m], y = []

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → ¬ n < m; (s)