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Theorem union-sizele

⊦ #(s ∪ s0) ≤ # s ↔ s0 ⊆ s

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: union-sizele-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 8
Used lemmas: union-sub, union-size, unc, una, union-sizeeq,
Used spec theorems:
- nat-basic1/neq-01
Used simplifier rules: