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Theorem union-sizeeq

⊦ #(s ∪ s0) = # s ↔ s0 ⊆ s

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: union-sizele,
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: union-sub, unc, una, unrax,
Used spec theorems:
- set-basic/subsize-eq
Used simplifier rules: