Step
*
10
1
of Lemma
r2-basic-geo-axioms
∀a,b,c,d,A,B,C,D:ℝ^2.  (a ≠ b 
⇒ 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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