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Proof step 8 from proof add-in-02 (previous step)

∀ r, r0, class1, st. r ∈ addobj(r0, class1, fis0, st) ↔ r = r0 ∨ r ∈ st ⊦ r = r0 ∨ r ∈ addobj(r0, class1, fis0, st) ↔ r = r0 ∨ r ∈ st

User applied rule case distinction

And obtained the following new goals

Proof step 5:
r = r0 ∨ r ∈ addobj(r0, class1, fis0, st), ∀ r, r0, class1, st. r ∈ addobj(r0, class1, fis0, st) ↔ r = r0 ∨ r ∈ st ⊦ r = r0 ∨ r ∈ st
Proof step 7:
r = r0 ∨ r ∈ st, ∀ r, r0, class1, st. r ∈ addobj(r0, class1, fis0, st) ↔ r = r0 ∨ r ∈ st ⊦ r = r0 ∨ r ∈ addobj(r0, class1, fis0, st)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]