[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 23 from proof reduction-is-topred-in-ctxt (previous step)

context(C0), value(v0), value(v), ∀ t'. v4 => t' ↔ (∃ C, t0, t2. context(C) ∧ v4 = C[t0] ∧ t0 =>top t2 ∧ t' = C[t2]), ∀ t'. C0[K _ v _ v0] => t' ↔ (∃ C, t2, t1. context(C) ∧ C0[K _ v _ v0] = C[t2] ∧ t2 =>top t1 ∧ t' = C[t1]) ⊦ ∃ C, t2, t3. context(C) ∧ C0[K _ v _ v0] _ v4 = C[t2] ∧ t2 =>top t3 ∧ C0[v] _ v4 = C[t3]

User applied rule exists right

And obtained the following new goals

Proof step 22:
context(C0), value(v0), value(v), ∀ t'. v4 => t' ↔ (∃ C, t0, t2. context(C) ∧ v4 = C[t0] ∧ t0 =>top t2 ∧ t' = C[t2]), ∀ t'. C0[K _ v _ v0] => t' ↔ (∃ C, t2, t1. context(C) ∧ C0[K _ v _ v0] = C[t2] ∧ t2 =>top t1 ∧ t' = C[t1]) ⊦ context(C0 _ v4) ∧ C0[K _ v _ v0] _ v4 = (C0 _ v4)[K _ v _ v0] ∧ K _ v _ v0 =>top v ∧ C0[v] _ v4 = (C0 _ v4)[v]

Rule argument

[EXRARG : pos: right 1, [extquanttermlist: (C0 _ v4, K _ v _ v0, v) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (C0 _ v4, K _ v _ v0, v)]]