Step
*
1
3
of Lemma
geo-midpoint-diagonals-between
.....antecedent.....
1. e : BasicGeometry
2. A : Point
3. P : Point
4. Q : Point
5. R : Point
6. P' : Point
7. Q' : Point
8. R' : Point
9. P=A=P'
10. R=A=R'
11. Q=A=Q'
12. P_Q_R
⊢ QR ≅ Q'R'
BY
{ (InstLemma `geo-midpoint-diagonals-congruent` [⌜e⌝;⌜A⌝;⌜Q'⌝;⌜R'⌝;⌜Q⌝;⌜R⌝]⋅ THENA Auto) }
1
1. e : BasicGeometry
2. A : Point
3. P : Point
4. Q : Point
5. R : Point
6. P' : Point
7. Q' : Point
8. R' : Point
9. P=A=P'
10. R=A=R'
11. Q=A=Q'
12. P_Q_R
13. Q'R' ≅ QR
⊢ QR ≅ Q'R'
Latex:
Latex:
.....antecedent.....
1. e : BasicGeometry
2. A : Point
3. P : Point
4. Q : Point
5. R : Point
6. P' : Point
7. Q' : Point
8. R' : Point
9. P=A=P'
10. R=A=R'
11. Q=A=Q'
12. P\_Q\_R
\mvdash{} QR \00D0 Q'R'
By
Latex:
(InstLemma `geo-midpoint-diagonals-congruent` [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}Q'\mkleeneclose{};\mkleeneopen{}R'\mkleeneclose{};\mkleeneopen{}Q\mkleeneclose{};\mkleeneopen{}R\mkleeneclose{}]\mcdot{} THENA Auto)
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