Step * of Lemma geo-congruent-full-symmetry

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e:EuclideanPlane
  ∀[a,b,c,d:Point].  {ba ≅ cd ∧ ab ≅ dc ∧ ba ≅ dc ∧ cd ≅ ab ∧ dc ≅ ab ∧ cd ≅ ba ∧ dc ≅ ba} supposing ab ≅ cd
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1
1. EuclideanPlane
2. Point
3. Point
4. Point
5. Point
6. ab ≅ cd
⊢ {ba ≅ cd ∧ ab ≅ dc ∧ ba ≅ dc ∧ cd ≅ ab ∧ dc ≅ ab ∧ cd ≅ ba ∧ dc ≅ ba}


Latex:


Latex:
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\mforall{}e:EuclideanPlane
    \mforall{}[a,b,c,d:Point].
        \{ba  \mcong{}  cd  \mwedge{}  ab  \mcong{}  dc  \mwedge{}  ba  \mcong{}  dc  \mwedge{}  cd  \mcong{}  ab  \mwedge{}  dc  \mcong{}  ab  \mwedge{}  cd  \mcong{}  ba  \mwedge{}  dc  \mcong{}  ba\}  supposing  ab  \mcong{}  cd


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Latex:
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