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Proof step 10 from proof reduction-is-topred-in-ctxt (previous step)

value(v0), value(v), ∀ t'. v0 => t' ↔ (∃ C, t0, t2. context(C) ∧ v0 = C[t0] ∧ t0 =>top t2 ∧ t' = C[t2]), ∀ t'. K _ v => t' ↔ (∃ C, t2, t1. context(C) ∧ K _ v = C[t2] ∧ t2 =>top t1 ∧ t' = C[t1]) ⊦ ∃ C, t2, t3. context(C) ∧ K _ v _ v0 = C[t2] ∧ t2 =>top t3 ∧ v = C[t3]

User applied rule exists right

And obtained the following new goals

Proof step 9:
value(v0), value(v), ∀ t'. v0 => t' ↔ (∃ C, t0, t2. context(C) ∧ v0 = C[t0] ∧ t0 =>top t2 ∧ t' = C[t2]), ∀ t'. K _ v => t' ↔ (∃ C, t2, t1. context(C) ∧ K _ v = C[t2] ∧ t2 =>top t1 ∧ t' = C[t1]) ⊦ context(O) ∧ K _ v _ v0 = O[K _ v _ v0] ∧ K _ v _ v0 =>top v ∧ v = O[v]

Rule argument

[EXRARG : pos: right 1, [extquanttermlist: (O, K _ v _ v0, v) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (O, K _ v _ v0, v)]]