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

Pstore(∅), ∀ st, a, d. Pstore(st) → Pstore(insert(a, d, st)) ⊦ Pstore(st)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ Pstore. Pstore(∅) ∧ (∀ st, a, d. Pstore(st) → Pstore(insert(a, d, st))) → Pstore(st0), Pstore(∅), ∀ st, a, d. Pstore(st) → Pstore(insert(a, d, st)) ⊦ Pstore(st0[a, d])

Rule argument

indvar: st

Additional information

Used simplifier rules: store generated by ∅, [ ];;