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Proof step 16 from proof newref-1dim (previous step)

⊦ (∀ rk. rk ∈ addarray(r, ty, i, st) → rk .ref ≠ r0) ↔ r ≠ r0 ∧ (∀ rk. rk ∈ st → rk .ref ≠ r0), r0 = jvmref

User applied rule case distinction

And obtained the following new goals

Proof step 10:
∀ rk. rk ∈ addarray(r, ty, i, st) → rk .ref ≠ r0 ⊦ r ≠ r0 ∧ (∀ rk. rk ∈ st → rk .ref ≠ r0), r0 = jvmref
Proof step 15:
r ≠ r0 ∧ (∀ rk. rk ∈ st → rk .ref ≠ r0) ⊦ ∀ rk. rk ∈ addarray(r, ty, i, st) → rk .ref ≠ r0, r0 = jvmref

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]