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Proof step 7 from proof rely-map-write-known (previous step)

(a[r => o] * R)[rs, f, g] ⊦ a = a0, rely(a0, rs, f, g, rs, f(r ; o0), g)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ (a[r =>_] * R)[rs, f, g] ∧ a ≠ a0 → (¬ rely(a0, rs, f, g, rs, f(r ; o), g) ↔ false)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: rely-map-write-unknown antecedent: succedent: (a[r =>_] * R)[rs, f, g] ∧ a ≠ a0 → (¬ rely(a0, rs, f, g, rs, f(r ; o), g) ↔ false) substlist: [R, a, o, r, g, f, rs, a0] → [R, a, o0, r, g, f, rs, a0] 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 : (R, a, o0, r, g, f, rs, a0)]]