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Proof step 562 from proof SII-loops (previous step)

〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K))); t3): 2 + m 〉 t3 = t, ∀ kappa0, t. kappa0 < ((((m + 1) + 1) + 1) + 1) + 1 → (〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ (S _ K _ K) _ (S _ K _ K)); t3): kappa0 〉 t3 = t → false), m ≠ 0 ⊦

User applied rule call left

And obtained the following new goals

Proof step 22:
⊦
Proof step 561:
〈t0 := t3, t1 := S _ (S _ K _ K) _ (S _ K _ K) _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K)))〉〈if 2 + m = 0 then abort else let tn = none in { RED1(t1; tn): (2 + m) -1 ; if tn ≠ none then RED(tn .t; t0): (2 + m) -1 else t0 := t1 }〉 t0 = t, ∀ kappa0, t. kappa0 < ((((m + 1) + 1) + 1) + 1) + 1 → (〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ (S _ K _ K) _ (S _ K _ K)); t3): kappa0 〉 t3 = t → false), m ≠ 0 ⊦

Rule argument

[fmapos-arg: pos: left 1]

Additional information

[[CONCRETESIMPRULES : ()]]