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Theorem size-le

⊦ #(x ∪ y) ≤ # rmdup(y) ↔ x ⊆ y

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: firstsub, subset, assoc, union,
Used spec theorems:
- Used simplifier rules: