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Proof step 6 from proof sw-put (previous step)

r1 ∈ H, r0 ∈ H ⊦ r0 = r1, (H[r0, o0][r1, o1]) = (H[r1, o1][r0, o0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ H0 = H1 ↔ (∀ r. (r ∈ H0 ↔ r ∈ H1) ∧ (r ∈ H0 → H0[r] = H1[r]))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: ext antecedent: succedent: H0 = H1 ↔ (∀ r. (r ∈ H0 ↔ r ∈ H1) ∧ (r ∈ H0 → H0[r] = H1[r])) substlist: [H1, H0] → [H[r1, o1][r0, o0], H[r0, o0][r1, o1]] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (H[r1, o1][r0, o0], H[r0, o0][r1, o1])]]