Step
*
1
1
1
1
1
of Lemma
sg-inv-op
1. sg : s-Group
2. v : Point
⊢ v ≡ (v v)
⇒ v ≡ 1
BY
{ (Auto THEN (Assert (v v^-1) ≡ ((v v) v^-1) BY (RWO "-1<" 0 THEN Auto))) }
1
1. sg : s-Group
2. v : Point
3. v ≡ (v v)
4. (v v^-1) ≡ ((v v) v^-1)
⊢ v ≡ 1
Latex:
Latex:
1. sg : s-Group
2. v : Point
\mvdash{} v \mequiv{} (v v) {}\mRightarrow{} v \mequiv{} 1
By
Latex:
(Auto THEN (Assert (v v\^{}-1) \mequiv{} ((v v) v\^{}-1) BY (RWO "-1<" 0 THEN Auto)))
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