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Proof step 4 from proof replayone-keep-adr (previous step)

nd = inodenode(key, md, boolvar, ino, ino0, ino1), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
adr0 ∈ (ino ≠ 0 ∨ key.ino = ROOT_INO ⊃ ri[key, adr];(boolvar ⊃ ri -- key;ri ⊖ key)) ⊦ adr0 = adr, adr0 ∈ ri

Rule argument

Additional information

Used simplifier rules: replay-ino: ⊦ replay-one(adr, inodenode(key, md, boolvar, n, n0, m), ri) = (n ≠ 0 ∨ key.ino = ROOT_INO ⊃ ri[key, adr] ;(boolvar ⊃ ri -- key;ri ⊖ key) );