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Proof step 5 from proof elim-sub (previous step)

n0 = m - 1 - n1 ↔ m - 1 = n0 + n1, n1 < m ⊦ n0 = m - n1 + 1 ↔ m = n0 + n1 + 1, m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ m - n - n0 = m - n + n0
Proof step 7:
n0 = m - 1 + n1 ↔ m - 1 = n0 + n1, n1 < m ⊦ n0 = m - n1 + 1 ↔ m = n0 + n1 + 1, m = 0

Rule argument

spec: inst: name: shift-01 seq: ⊦ m - n - n0 = m - n + n0 subst: [n0, n, m] → [n1, 1, m] flags: rewrite, current

Additional information

Used terms: n1, 1, m