Most proof systems provide ways to deduce one sequent from another. These inference rules are written with a list of sequents above and below a line. This rule indicates that if everything above the line is true, so is everything under the line.
A typical rule is:
This indicates that if we can deduce that yields, and that yields, then we can also deduce that yields .
Read more about this topic: Sequent
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—Hubert H. Humphrey (19111978)
“A man often thinks he rules himself, when all the while he is ruled and managed; and while his understanding directs one design, his affections imperceptibly draw him into another.”
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—Mabel Smith Douglass (18771933)