Step
*
of Lemma
TR3a
[T:Type]. 
[P:T 
 
]. 
[C:
].  ((C 
 (
C)) 
 (
x:T. True) 
 (C 
 (
x:T. (P x))) 
 (
x:T. (C 
 (P x))))
BY
{ RepeatFor 3 ((UD THENA Auto)) }
1
1. [T] : Type
2. [P] : T 
 
3. [C] : 
 (C 
 (
C)) 
 (
x:T. True) 
 (C 
 (
x:T. (P x))) 
 (
x:T. (C 
 (P x)))
Latex:
\mforall{}[T:Type].  \mforall{}[P:T  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[C:\mBbbP{}].
    ((C  \mvee{}  (\mneg{}C))  {}\mRightarrow{}  (\mexists{}x:T.  True)  {}\mRightarrow{}  (C  {}\mRightarrow{}  (\mexists{}x:T.  (P  x)))  {}\mRightarrow{}  (\mexists{}x:T.  (C  {}\mRightarrow{}  (P  x))))
By
RepeatFor  3  ((UD  THENA  Auto))
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