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Proof step 1 from proof btree-restrict-union-proper (conclusion)

n < # asar ⊦ ((btree(rp, r, adr, height, dirty, ri, iast | union(asar, 0, # asar), asar[n], alladrs, nstat) * P))(zh) ↔ ((btree(rp, r, adr, height, dirty, ri, iast | asar[n], asar[n], alladrs, nstat) * P))(zh)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
n < # asar ⊦ ((btree(rp, r, adr, height, dirty, ri, iast | union(asar, 0, # asar), asar[n], alladrs, nstat) * P))(zh) ↔ ((btree(rp, r, adr, height, dirty, ri, iast | asar[n], asar[n], alladrs, nstat) * P))(zh)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic