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Step * 1 of Lemma grp_car_inc

.....subterm..... T:t
1:n
1. x : |(<ℤ+>↓hgrp)|
⊢ x ∈ ℕ
BY
{ (Reduce 1  THENM D 1  THENM Eval ``grp_leq`` 2  THENM RW bool_to_propC 2 THEN Auto) }

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Latex:

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Latex:
.....subterm.....  T:t
1:n
1.  x  :  |(<\mBbbZ{}+>\mdownarrow{}hgrp)|
\mvdash{}  x  \mmember{}  \mBbbN{}


By

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Latex:
(Reduce  1    THENM  D  1    THENM  Eval  ``grp\_leq``  2    THENM  RW  bool\_to\_propC  2  THEN  Auto)

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