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Proof step 77 from proof inv-replay (previous step)

fs0[ri[key]].key = key, replay-log(log0, fs0, fi0 ⊖ fo0) = ri ⊖ ro, ro.inodes?, fo0.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-safe(log0, fs0, fi0 ⊖ fo0), ri-closed(ri, fs0, ro), ri-inj(fi0), ri-inj(ri), ri[key] ∈ fs0, inodekey(key.ino) ∈ ro, key ∈ ri, inodekey(key.ino) ∈ ri, fo0 ⊆ dom fi0, ro ⊆ dom ri, key.inode? → fs0[ri[key]].inode? ∧ key.ino ≠ 0, key.dentry? → fs0[ri[key]].dentry? ⊦ # ro = 0, ro = ∅, key.data?, fs0[ri[key]].data?, key.inode?, dups(log0), inodekey(0) ∈ ri ⊖ ro, inodekey(0) ∈ ri, key ∈ ro, file-node-cons(fs0, ri ⊖ ro) ∧ orphans-cons(fs0, ri ⊖ ro, ∅)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 78:
fs0[ri[key]].key = key, replay-log(log0, fs0, fi0 ⊖ fo0) = ri ⊖ ro, fo0.inodes?, ro.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-safe(log0, fs0, fi0 ⊖ fo0), ri-closed(ri, fs0, ro), ri-inj(ri), ri-inj(fi0), inodekey(key.ino) ∈ ri, key ∈ ri, inodekey(key.ino) ∈ ro, ri[key] ∈ fs0, ro ⊆ dom ri, fo0 ⊆ dom fi0, key.dentry? → fs0[ri[key]].dentry? ⊦ # ro = 0, ro = ∅, fs0[ri[key]].data?, key.data?, key.inode?, dups(log0), key ∈ ro, inodekey(0) ∈ ri, inodekey(0) ∈ ri ⊖ ro, file-node-cons(fs0, ri ⊖ ro) ∧ orphans-cons(fs0, ri ⊖ ro, ∅)

Proof step 77 from proof inv-replay (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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