Assume that "P" and "Q" are logic propositions. I want to say "Since Q is true, so P is true". I want to say this, like one of the two sentences below. Which one is true (better)?

  • P follows by Q.

  • P follows from Q.

Thank you.

  • You can also say Q implies P (Q => P). math.niu.edu/~richard/Math101/implies.pdf – MorganFR May 13 '16 at 13:25
  • @MorganFR Note, however, that imply is ambiguous: it may designate either entailment (a necessary inference) or implicature (a default but 'cancellable' inference). – StoneyB May 13 '16 at 13:47

B follows from A

means that B can be derived logically from A.

"Follows from" is idiomatic.

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