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Proof step 30 from proof value-context (previous step)

∀ t. context(C0) ∧ value(C0[t]) → value(t), context(t0 _ C0), value((t0 _ C0)[t]) ⊦ value(t)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
⊦ (t1 _ C)[t] = t1 _ C[t]
Proof step 29:
context(C0), value(t0), value(t0 _ C0[t]), ∀ t1. value(C0[t1]) → value(t1) ⊦ value(t)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ context(t _ C) ↔ ¬ ¬ (context(C) ∧ value(t))])]]