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Proof step 16 from proof rew (previous step)

⊦ a = b, st[b, d0][a, d] = st[a, d][b, d0]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st0 ≠ st1 ↔ ¬(∀ a. (a ∈ st0 ↔ a ∈ st1) ∧ (a ∈ st0 → st0[a] = st1[a]))

Rule argument

spec: inst: name: k-Extension seq: ⊦ st0 ≠ st1 ↔ ¬(∀ a. (a ∈ st0 ↔ a ∈ st1) ∧ (a ∈ st0 → st0[a] = st1[a])) subst: [st1, st0] → [st[a, d][b, d0], st[b, d0][a, d]] flags: rewrite, current

Additional information

[Concretesimprules(()), Extraterms((st[a, d][b, d0]st[b, d0][a, d]))]