| 〈if value(v4) ∧ value(v0) ∧ value(v) then tn0 := some(v4 _ v _ (v0 _ v)) else tn0 := none〉 tn0 = none, 〈RED1(S _ t4 _ t3; tn2)〉 tn2 = none, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), m ≠ 0, value(t4), value(t3), value(t1), ¬ value(S _ t4 _ t3), v = (S _ t4 _ t3 _ t1) .2, v0 = (S _ t4 _ t3 _ t1) .1 .2, v4 = (S _ t4 _ t3 _ t1) .1 .1 .2 ⊦ |
〈tn0 := some(v4 _ v _ (v0 _ v))〉 tn0 = none, 〈RED1(S _ t4 _ t3; tn2)〉 tn2 = none, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), m ≠ 0, value(t4), value(t3), value(t1), ¬ value(S _ t4 _ t3), v = (S _ t4 _ t3 _ t1) .2, v0 = (S _ t4 _ t3 _ t1) .1 .2, v4 = (S _ t4 _ t3 _ t1) .1 .1 .2 ⊦
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (t _ t0) .1 = t], [CSIMPSEQ : ⊦ (t _ t0) .2 = t0])]]