Step * 1 1 2 of Lemma symmetry_preserves_midpoint


1. BasicGeometry
2. Point
3. Point
4. Point
5. Point
6. e1 Point
7. Point
8. Point
9. a=z=d
10. b=z=e1
11. c=z=f
12. a=b=c
13. d_e1_f
⊢ de1 ≅ e1f
BY
(InstLemma `geo-midpoint-diagonals-congruent2` [⌜e⌝;⌜a⌝;⌜b⌝;⌜b⌝;⌜c⌝;⌜d⌝;⌜e1⌝;⌜e1⌝;⌜f⌝;⌜z⌝]⋅ THEN Auto) }


Latex:


Latex:

1.  e  :  BasicGeometry
2.  a  :  Point
3.  b  :  Point
4.  c  :  Point
5.  d  :  Point
6.  e1  :  Point
7.  f  :  Point
8.  z  :  Point
9.  a=z=d
10.  b=z=e1
11.  c=z=f
12.  a=b=c
13.  d\_e1\_f
\mvdash{}  de1  \00D0  e1f


By


Latex:
(InstLemma  `geo-midpoint-diagonals-congruent2`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}e1\mkleeneclose{};\mkleeneopen{}e1\mkleeneclose{};\mkleeneopen{}f\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]\mcdot{}
  THEN  Auto
  )




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