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Proof step 4 from proof addobj-in-02 (previous step)

sk0 .fs = mkfs(class0, ty, fieldvar), r ≠ r0 ∨ ¬ sk ∈ sks0 ∧ sk ≠ _type → (r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st), r ≠ r0 ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ∧ sk ≠ _type ⊦ r = r0 ∧ sk = sk0 ∨ r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st

User applied rule case distinction

And closed the goal!

Rule argument

[CASEDARG : pos: left 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]