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Proof step 7 from proof eqex-mode (previous step)

st0[jvmref -- mkfs(`java.lang.Object' .class, void_type, `mode' .field) '] = noval, ∀ rk. (rk ∈ st -- r ↔ rk ∈ st0 -- r) ∧ (st -- r)[rk] = (st0 -- r)[rk], eqex(st0, st, r) ⊦ st[jvmref -- mkfs(`java.lang.Object' .class, void_type, `mode' .field) '] = noval, r = jvmref

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: ( jvmref -- mkfs (`java.lang.Object' .class, void_type, `mode' .field) ') abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ jvmref -- mkfs (`java.lang.Object' .class, void_type, `mode' .field) ' = _mode], [CSIMPSEQ : r ≠ jvmref ⊦ (st -- r)[_mode] = st[_mode]])], [EXTRATERMS : ( jvmref -- mkfs (`java.lang.Object' .class, void_type, `mode' .field) ')]]