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Proof step 3 from proof Uniform-store (previous step)

∀ 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])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
Pstore(∅), ∀ Pstore. Pstore(∅) ∧ (∀ st, a, d. Pstore(st) → Pstore(insert(a, d, st))) → Pstore(st0), ∀ st, a, d. Pstore(st) → Pstore(insert(a, d, st)) ⊦ Pstore(insert(a, d, st0))

Rule argument

Additional information

Used simplifier rules: insert-def: ⊦ st[a, d] = insert(a, d, st); from specification lookup