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Proof step 5 from proof contains-shortarray-01 (previous step)

ty0 ' + tys0 = short_type ' ⊦ ∃ ty. is_arraytype(ty) ∧ ty .type = short_type ∧ type∃(str, ty) ∧ ty0 ≤ ty .type ∧ contains(str, ty0 ' + tys0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ contains(str, ty ') ↔ type∃(str, ty)
Proof step 4:
⊦ ∃ ty. is_arraytype(ty) ∧ ty .type = short_type ∧ type∃(str, ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ type∃(str, short_type)], [CSIMPSEQ : ⊦ tys + [] = tys], [CSIMPSEQ : ⊦ short_type ≤ ty ↔ ty = short_type], [CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1], [CSIMPSEQ : ⊦ ty ' = ty0 ' + tys ↔ ty = ty0 ∧ tys = []])]]