---

Step * of Lemma eu-five-segment'

∀e:EuclideanPlane
  ∀[a,b,c,A,B,C:Point].
    (∀d,D:Point.  (cd=CD) supposing (bd=BD and ad=AD)) supposing 
       (bc=BC and 
       ab=AB and 
       A_B_C and 
       a_b_c and 
       (¬(a = b ∈ Point)))
BY
{ (Auto THEN InstLemma `eu-five-segment` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜d⌝;⌜A⌝;⌜B⌝;⌜C⌝;⌜D⌝]⋅ THEN Auto) }

---

Latex:

---

Latex:
\mforall{}e:EuclideanPlane
    \mforall{}[a,b,c,A,B,C:Point].
        (\mforall{}d,D:Point.    (cd=CD)  supposing  (bd=BD  and  ad=AD))  supposing 
              (bc=BC  and 
              ab=AB  and 
              A\_B\_C  and 
              a\_b\_c  and 
              (\mneg{}(a  =  b)))


By

---

Latex:
(Auto  THEN  InstLemma  `eu-five-segment`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{};\mkleeneopen{}C\mkleeneclose{};\mkleeneopen{}D\mkleeneclose{}]\mcdot{}  THEN  Auto)

---

Home Index