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Proof step 13 from proof new-mode-01 (previous step)

⊦ r ≠ jvmref ∧ (∀ rk. rk = _mode ∨ rk ∈ st → rk .ref ≠ r) ↔ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r)

User applied rule case distinction

And obtained the following new goals

Proof step 7:
r ≠ jvmref ∧ (∀ rk. rk = _mode ∨ rk ∈ st → rk .ref ≠ r) ⊦ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r)
Proof step 12:
r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r) ⊦ r ≠ jvmref ∧ (∀ rk. rk = _mode ∨ rk ∈ st → rk .ref ≠ r)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]