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Theorem app-06
⊦ x + a ' = y + b ' ↔ x = y ∧ a = b
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
app-03
,
eq
,
eq-02
,
eq-03
,
in-16
,
inapp-12
,
inapp-13
,
inapp-14
,
inex
,
isin-01
,
neq-03
,
neq-06
,
neq-07
,
ni
,
two
,
Used by units in proved state:
list-last
,
path-reachable
,
olist
,
list-dup
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas:
c-06
,
e-02
,
c-03
,
in-14
,
in-rec
,
c
,
in-empty
,
c-05
,
Nil
,
in-17
,
in-append
,
a
,
in-15
,
Used spec theorems:
Used simplifier rules: