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Proof step 2 from proof btree-clean-alladrs (previous step)

((btree(rp, r, adr, height, false, ri, iast, as, alladrs, nstat) * P))(zh) ⊦ as = alladrs

User applied rule structural induction

And obtained the following new goals

Proof step 3:
((btree(rp, r, adr, 0, false, ri, iast, as, alladrs, nstat) * P))(zh) ⊦ as = alladrs
Proof step 6:
((btree(rp, r, adr, height0 +1, false, ri, iast, as, alladrs, nstat) * P))(zh), ∀ rp, r, adr, ri, iast, as, alladrs, nstat, P, zh. ((btree(rp, r, adr, height0, false, ri, iast, as, alladrs, nstat) * P))(zh) → as = alladrs ⊦ as = alladrs

Rule argument

indvar: height

Additional information

Used simplifier rules: nat freely generated by 0, +1;;