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Proof step 10 from proof new-mode-01 (previous step)

rk = r -- sk, rk = _mode ∨ rk ∈ st, ∀ rk0. rk0 ∈ st → rk0 .ref ≠ r ⊦ r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
⊦ r -- sk ∈ st → r ∈ st
Proof step 9:
r -- sk ∈ st, r ∈ st, ∀ rk0. rk0 ∈ st → rk0 .ref ≠ r ⊦ r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → _mode ≠ r -- sk])]]