For the conservative electric field \(\vec{E}\).

1
\(\text{div} \ \vec{E}=0\)
2
\(\text{curl} \ \vec{E} = 0\)
3
\(\displaystyle\int_a^b \vec{E}\cdot \vec{dl} = 0\)
4
\(\text{grad div} \ \vec{E} = 0\)

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