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Theorem union-size-03

⊦ #(s0 ∪ s1) = # s0 + # s1 - #(s0 ∩ s1)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 20
Used lemmas: uninsert, Intersect, intersection-shift, intersection-size, intersection-insert, Union, unadd, int-c, int-a, int-e, unc, una, une,
Used spec theorems:
- set-basic/eq
- set-basic/Size-insert
Used simplifier rules: