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Theorem size-nle

⊦ ¬ y ⊆ x ∪ z → ¬ #(x ∪ y ∪ z) ≤ #(x ∪ z)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
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, rmdup-01, assoc, union,
Used spec theorems:
- Used simplifier rules: