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Theorem intersection-size

⊦ ¬ # s0 + # s < #(s0 ∩ s)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: union-size-03, union-size-ls-in,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas: Intersect, intersection-insert, intersection-shift, int-c, int-a, int-e,
Used spec theorems:
- set-basic/eq
- set-basic/Size-insert
Used simplifier rules: