[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 2 from proof btree-adrs (previous step)

((btree(rp, rp0, adr0, height, dirty, fi, iast, as, alladrs, nstat) * P))(zh) ⊦ as ⊆ dom iast

User applied rule structural induction

And obtained the following new goals

Proof step 3:
((btree(rp, rp0, adr0, 0, dirty, fi, iast, as, alladrs, nstat) * P))(zh) ⊦ as ⊆ dom iast
Proof step 11:
((btree(rp, rp0, adr0, height0 +1, dirty, fi, iast, as, alladrs, nstat) * P))(zh), ∀ rp, rp0, adr0, dirty, fi, iast, as, alladrs, nstat, P, zh. ((btree(rp, rp0, adr0, height0, dirty, fi, iast, as, alladrs, nstat) * P))(zh) → as ⊆ dom iast ⊦ as ⊆ dom iast

Rule argument

indvar: height

Additional information

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