[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 1 from proof unmodified-clean-eq-adr-subseteq (conclusion)

n < nused, nused ≤ BRANCH_SIZE, # zbrar0 = # zbrar1, # zbrar0 = BRANCH_SIZE ⊦ iast0 ⊆ iast1 ∧ zbrar0[n] = mkzbranch(key0, adr0, r0) ∧ unmodified(adr, mkznode(rp0, zbrar0, bv, false, nused), iast0) ∧ unmodified(adr, mkznode(rp1, zbrar1, bv, false, nused), iast1) ∧ zbrar1[n] = mkzbranch(key1, adr1, r1) → key1 = key0 ∧ adr1 = adr0

System applied rule normalize

And obtained the following new goals

Proof step 2:
# zbrar0 = BRANCH_SIZE, # zbrar0 = # zbrar1, zbrar0[n] = mkzbranch(key0, adr0, r0), zbrar1[n] = mkzbranch(key1, adr1, r1), n < nused, unmodified(adr, mkznode(rp0, zbrar0, bv, false, nused), iast0), unmodified(adr, mkznode(rp1, zbrar1, bv, false, nused), iast1), nused ≤ BRANCH_SIZE, iast0 ⊆ iast1 ⊦ key1 = key0 ∧ adr1 = adr0

Proof step 1 from proof unmodified-clean-eq-adr-subseteq (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information