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Proof step 35 from proof ubifs-cons-reduce (previous step)

node-cons(fs1[adr].key, fs1[adr]), ri-closed(ri1, fs1, ro1), ri-cons(ri1, fs1), adr ∈ log1, adr ∈ fs1, ro1 ⊆ dom ri1, fo1 ⊆ dom fi1, adr ∈ log0 → adr ∈ fs0 ∧ (fs0[adr].inode? → fs0[adr].key.inode? ∧ fs0[adr].key.ino ≠ 0) ∧ (fs0[adr].dentry? → fs0[adr].key.dentry?) ∧ (fs0[adr].data? → fs0[adr].key.data?) ∧ (fs0[adr].trunc? → fs0[adr].key.inode?) ⊦ inodekey(0) ∈ ri1, (fs1[adr].inode? → fs1[adr].key.inode? ∧ fs1[adr].key.ino ≠ 0) ∧ (fs1[adr].dentry? → fs1[adr].key.dentry?) ∧ (fs1[adr].data? → fs1[adr].key.data?) ∧ (fs1[adr].trunc? → fs1[adr].key.inode?)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-inv name: node-cons seq: ⊦ node-cons(key, nd) ↔ (nd.inode? → key.inode? ∧ key.ino ≠ 0) ∧ (nd.dentry? → key.dentry?) ∧ (nd.data? → key.data?) ∧ (nd.trunc? → key.inode?) subst: [nd, key] → [fs1[adr], fs1[adr].key] flags: <all paths>

Additional information

Used terms: fs1[adr], fs1[adr].key