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Proof step 50 from proof replayone-prog (previous step)

fs[adr] = inodenode(inodekey(ino), md, false, 0, m0, m1), adr ∈ fs ⊦ (ri1 \ datakeys(inodekey(ino), ri1)) -- inodekey(ino) = ri1 ⊖ inodekey(ino), ino = 0, ino = ROOT_INO, adr ∈ ri1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 51:
⊦ ri ⊖ key = (ri -- key) \ datakeys(key, ri)

Rule argument

spec: aubifs-base name: del-with-data seq: ⊦ ri ⊖ key = (ri -- key) \ datakeys(key, ri) subst: [key, ri] → [inodekey(ino), ri1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ (ri -- key) \ ks = (ri \ ks) -- key; (s) Used terms: inodekey(ino), ri1