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View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 3 from proof totality (previous step)

⊦ key = key0, key0 < key, key < key0

User applied rule constructor cut

And obtained the following new goals

Proof step 4:
key = inodekey(ino) ⊦ key = key0, key < key0, key0 < key
Proof step 6:
key = datakey(ino, ino0) ⊦ key = key0, key < key0, key0 < key
Proof step 8:
key = dentrykey(ino, str) ⊦ key = key0, key < key0, key0 < key

Rule argument

var: key

Additional information

Used simplifier rules: key freely generated by inodekey, datakey, dentrykey;;