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Proof step 11 from proof fun-reduces-imp-app-reduces (previous step)

∃ C. (∃ v1, v2. t = C[K _ v1 _ v2] ∧ t' = C[v1] ∧ value(v1) ∧ value(v2) ∧ context(C)) ∨ (∃ v1, v2, v3. t = C[S _ v1 _ v2 _ v3] ∧ t' = C[v1 _ v3 _ (v2 _ v3)] ∧ value(v1) ∧ value(v2) ∧ value(v3) ∧ context(C)) ⊦ t _ t1 => t' _ t1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
t = C[K _ v _ v0] ∧ t' = C[v] ∧ value(v) ∧ value(v0) ∧ context(C) ∨ t = C[S _ v1 _ v2 _ v3] ∧ t' = C[v1 _ v3 _ (v2 _ v3)] ∧ value(v1) ∧ value(v2) ∧ value(v3) ∧ context(C) ⊦ t _ t1 => t' _ t1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]