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Proof step 11 from proof newref-def (previous step)

⊦ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r) ↔ r ≠ jvmref ∧ ¬ r ∈ st

User applied rule case distinction

And obtained the following new goals

Proof step 7:
r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r) ⊦ r ≠ jvmref ∧ ¬ r ∈ st
Proof step 10:
r ≠ jvmref ∧ ¬ r ∈ st ⊦ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]