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Theorem ex

⊦ a ∈ ax ↔ (∃ d, ay, az. ax = ay + (a × d)' + az)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: lenequal, lenle, uniquelen,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: inassoc,
Used spec theorems:
- list/assoclist/in-def
Used simplifier rules:
- list/assoclist/c
- list/assoclist/a
- list/assoclist/in-17
- list/assoclist/in-append