Step
*
of Lemma
left-test_wf
∀[g:OrientedPlane]. ∀[xs:{xs:Point List| geo-general-position(g;xs)} ]. ∀[i:ℕ||xs||]. ∀[j:{j:ℕ||xs||| ¬(i = j ∈ ℤ)} ].
∀[k:{k:ℕ||xs||| (¬(k = i ∈ ℤ)) ∧ (¬(k = j ∈ ℤ))} ].
(i L jk ∈ 𝔹)
BY
{ (Auto THEN Unfold `left-test` 0 THEN MemCD THEN Try (MemTypeCD) THEN Auto THEN EAuto 1) }
Latex:
Latex:
\mforall{}[g:OrientedPlane]. \mforall{}[xs:\{xs:Point List| geo-general-position(g;xs)\} ]. \mforall{}[i:\mBbbN{}||xs||].
\mforall{}[j:\{j:\mBbbN{}||xs||| \mneg{}(i = j)\} ]. \mforall{}[k:\{k:\mBbbN{}||xs||| (\mneg{}(k = i)) \mwedge{} (\mneg{}(k = j))\} ].
(i L jk \mmember{} \mBbbB{})
By
Latex:
(Auto THEN Unfold `left-test` 0 THEN MemCD THEN Try (MemTypeCD) THEN Auto THEN EAuto 1)
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