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Proof step 6 from proof reduction-is-topred-in-ctxt (previous step)

⊦ S => t' ↔ (∃ C, t0, t1. context(C) ∧ S = C[t0] ∧ t0 =>top t1 ∧ t' = C[t1])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ ¬ S => t
Proof step 5:
⊦ ¬ S =>top t

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ S = C[t] ↔ t = S ∧ C = O])]]