Step * 10 1 of Lemma r2-basic-geo-axioms


a,b,c,d,A,B,C,D:ℝ^2.  (a ≠  a_b_c  A_B_C  ab=AB  bc=BC  ad=AD  bd=BD  cd=CD)
BY
(InstLemma `rv-be-five-segment` []⋅ THENM Trivial) }


Latex:


Latex:

\mforall{}a,b,c,d,A,B,C,D:\mBbbR{}\^{}2.    (a  \mneq{}  b  {}\mRightarrow{}  a\_b\_c  {}\mRightarrow{}  A\_B\_C  {}\mRightarrow{}  ab=AB  {}\mRightarrow{}  bc=BC  {}\mRightarrow{}  ad=AD  {}\mRightarrow{}  bd=BD  {}\mRightarrow{}  cd=CD)


By


Latex:
(InstLemma  `rv-be-five-segment`  []\mcdot{}  THENM  Trivial)




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