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Proof step 34 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, fs0[ri[dentrykey(ino, str)]] = dentrynode(key, m0), key = dentrykey(ino, str), fs0[ri[dentrykey(ino, str)]].dentry?, fs0[ri[inodekey(ino)]].directory, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(ino) ∈ ri, inodekey(m0) ∈ ri, ri[dentrykey(ino, str)] ∈ fs0, dentrykey(ino, str) ∈ ri, inodekey(m) ∈ ri ⊦ (adr1 = ri[inodekey(ino)] ⊃ datanode(datakey(m, pageno), buf);fs0[ri[inodekey(ino)]]).directory, fs0[ri[inodekey(m)]].directory, inodekey(ino) ∈ ro, inodekey(m0) ∈ ro, adr1 ∈ fs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
# buf = VFS_PAGE_SIZE, fs0[ri[dentrykey(ino, str)]] = dentrynode(dentrykey(ino, str), m0), fs0[ri[inodekey(ino)]].directory, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(ino) ∈ ri, inodekey(m0) ∈ ri, ri[dentrykey(ino, str)] ∈ fs0, dentrykey(ino, str) ∈ ri, inodekey(m) ∈ ri ⊦ (adr1 = ri[inodekey(ino)] ⊃ datanode(datakey(m, pageno), buf);fs0[ri[inodekey(ino)]]).directory, fs0[ri[inodekey(m)]].directory, inodekey(ino) ∈ ro, inodekey(m0) ∈ ro, adr1 ∈ fs0

Rule argument

Additional information

Used simplifier rules: ⊦ dentrynode(key, m).dentry?; (s)