let
L
be non
empty
satisfying_Sh_1
ShefferStr
;
:: thesis:
for
x
,
y
being
Element
of
L
holds
x

(
y

y
)
=
x

(
x

y
)
let
x
,
y
be
Element
of
L
;
:: thesis:
x

(
y

y
)
=
x

(
x

y
)
x

(
y

x
)
=
x

(
y

y
)
by
Th42
;
hence
x

(
y

y
)
=
x

(
x

y
)
by
Th33
;
:: thesis:
verum