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Proof step 13 from proof keep-range (previous step)

zbr.key = zbrar[m].key, m < # zbrar, nused0 < # zbrar ⊦ nused0 = 0, ri |≤ zbrar[m, zbr][0].key = ri |≤ zbrar[0].key

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ m ≠ n → zbrar[n, zbr][m] = zbrar[m]

Rule argument

spec: array, inst: zbranch-array name: Put-other seq: ⊦ m ≠ n → zbrar[n, zbr][m] = zbrar[m] subst: [m, zbr, n, zbrar] → [0, zbr, m, zbrar] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < # zbrar → zbrar[m, zbr][m] = zbr; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s) Used terms: 0, zbr, m, zbrar