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Proof step 5 from proof contains-bytearray (previous step)

tys + ty ' ≠ [] ⊦ type∃(str, mkarraytype(byte_type)) ∧ is_reftype(mkarraytype(byte_type)) ∧ (∃ ty1. ty1 ≤ mkarraytype(byte_type) ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ (tys + ty ') .first ≤ fs .type)) ∧ (is_arraytype(ty1) → (tys + ty ') .first ≤ ty1 .type) ∧ contains(str, tys + ty ')) ↔ tys = [] ∧ ty = byte_type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ contains(str, ty ') ↔ type∃(str, ty)
Proof step 4:
(tys + ty ') .first = byte_type, contains(str, tys + ty ') ⊦ tys = [] ∧ ty = byte_type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tys + ty ' ≠ []], [CSIMPSEQ : ⊦ byte_type ≤ ty ↔ ty = byte_type], [CSIMPSEQ : ⊦ ty ' .first = ty], [CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1], [CSIMPSEQ : ⊦ [] + tys = tys], [CSIMPSEQ : ⊦ ty ≤ byte_type ↔ ty = byte_type], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ ¬ is_classtype(mkarraytype(ty))], [CSIMPSEQ : ⊦ ty ≤ mkarraytype(byte_type) ↔ ty = mkarraytype(byte_type)], [CSIMPSEQ : ⊦ is_reftype(mkarraytype(ty))], [CSIMPSEQ : ⊦ type∃(str, byte_type)], [CSIMPSEQ : ⊦ type∃(str, mkarraytype(ty)) ↔ type∃(str, ty)])]]