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Proof step 13 from proof RED-complete (previous step)

∀ n0, t', t. n0 < n → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), irred(t'), (=> ^ n)(t, t'), n = 0 ⊦ 〈RED(t; t0)〉 t0 = t'

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
∀ n0, t', t. n0 < 0 → (irred(t') ∧ (=> ^ n0)(t, t') → 〈RED(t; t0)〉 t0 = t'), irred(t') ⊦ 〈RED(t'; t0)〉 t0 = t'

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (R ^ 0)(t, t') ↔ t = t'])]]