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Proof step 2 from proof Uniform-store (previous step)

Pentries-tree(∅), ∀ sdt, str, tree. Pentries-tree(sdt) → Pentries-tree(sdt[str, tree]) ⊦ Pentries-tree(sdt)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
Pentries-tree(∅), ∀ sdt, str, tree. Pentries-tree(sdt) → Pentries-tree(sdt[str, tree]), ∀ Pentries-tree. Pentries-tree(∅) ∧ (∀ sdt, str, tree. Pentries-tree(sdt) → Pentries-tree(sdt[str, tree])) → Pentries-tree(sdt0) ⊦ Pentries-tree(sdt0[str, tree])

Rule argument

indvar: sdt var+seq-list: [tree| ⊦ true]

Additional information

Used simplifier rules: directory-tree, entries-tree generated by ∅, dnode, fnode, [ ];;