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Proof step 3 from proof replayone-keep-adr (previous step)

adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri

User applied rule constructor cut

And obtained the following new goals

Proof step 4:
nd = inodenode(key, md, boolvar, ino, ino0, ino1), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri
Proof step 8:
nd = dentrynode(key, ino), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri
Proof step 10:
nd = datanode(key, buf), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri
Proof step 12:
nd = truncnode(key, ino), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri

Rule argument

var: nd

Additional information

Used simplifier rules: node freely generated by inodenode, dentrynode, datanode, truncnode;;