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Theorem subset-plus

⊦ ¬ ¬ bag0 ++ a ⊆ bag1 ↔ (∃ bag2. bag1 = bag2 ++ a ∧ bag0 ⊆ bag2)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: diff-size, subset-size, subset-smaller,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: subset-in, in, exin, subset-plusplus,
Used spec theorems:
- Used simplifier rules:
  - bag-basic/insert-inj