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Proof step 8 from proof RED-complete (previous step)

〈RED1(t'; tn)〉 (tn = none ⊃ irred(t'); t' => tn .t), ∀ n0, t', t. n0 < 0 → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), irred(t') ⊦ 〈RED1(t'; tn0)〉〈if tn0 ≠ none then RED(tn0 .t; t1) else t1 := t'〉 t1 = t'

Heuristic contract and execute applied rule execute call

And obtained the following new goals

Proof step 7:
〈RED1(t'; tn)〉 tn = tn1, ∀ n0, t', t. n0 < 0 → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), irred(t'), tn1 = none ⊃ irred(t') ; t' => tn1 .t ⊦ 〈if tn1 ≠ none then RED(tn1 .t; t1) else t1 := t'〉 t1 = t'

Rule argument

[fmaposlist-arg: (pos: left 1, pos: right 1)]

Additional information

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