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Theorem assoc

⊦ (x ∪ y) ∪ z = x ∪ y ∪ z

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: Noassoc, app, appsize, assocsize, commsize, diff-twice-union, diff-union, emptyunion, firstin, firstinsub, firstsub, in, in-01, in-02, in-03, in-04, insub, insub-01, k-union-rec-n, k-union-rec-y, nodups, notin, rmdup-02, rmdup-size, rotsize, size-le, size-nle, size-nls, size-nls-01, sub, sub-01, sub-02, sub-03, sub-04, sub-05, sub-06, sub-07, sub-size-02, suband, subonein, subset-01, subset-01-01, subset-diff-union, subsub, subsub-01, union-twice,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: union,
Used spec theorems:
- Used simplifier rules: