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  1. logic - Difference between $\implies$ and $\;\therefore ...

    Sometimes a single right arrow is used, which has the same meaning. It is very common to use the \implies symbol instead of "therefore", but since "implies" and "therefore" have significantly different …

  2. What does 'imply' mean in maths? - Mathematics Stack Exchange

    Nov 22, 2017 · Are you asking about the logical symbol $\implies$ ("implies"), or are you asking about how the word "imply" is used in mathematical plain text, e.g. in proofs. The answers to this question …

  3. Implies sign in math - Mathematics Stack Exchange

    Implies sign in math Ask Question Asked 14 years, 11 months ago Modified 12 years, 7 months ago

  4. Difference between implies and "turnstile" symbols (→ and ⊢)

    Mar 4, 2022 · Now 'A implies B' gets used in informal talk both as variant on 'if A then B' and as a variant of 'A logically entails B', i.e. as both what we might regiment as 𝐴→𝐵 and as 𝐴⊢𝐵 [or 𝐴⊨𝐵]. And low and …

  5. Understanding the p implies q statement - Mathematics Stack Exchange

    Aug 7, 2021 · 0 $ p\implies q $ can be seen as an argument $ p \therefore q$. If the argument is valid and $ p $ is true, then we are sure that $ q $ is also true. If the argument is valid and $ p $ is false, …

  6. logic - Difference between $\Rightarrow$ and $\implies

    Jun 22, 2022 · I've used both $\\Rightarrow$ and $\\implies$ interchangeably throughout my mathematics in school, and I want to know which is proper. When should I use $\\Rightarrow$ over …

  7. Is there such a thing as the reverse of an implication $A \implies B ...

    Jul 18, 2024 · Is there any standard/common definition of the reverse of an implication $A \\implies B$? Or is this term not used? One note claims that Consider the implication ...

  8. Is “implies” the best symbol when rewriting equations?

    Jul 12, 2021 · For a simpler example: " $0 = 1 \implies 1 = 1$ " is true, but " $0 = 1 \therefore 1 = 1$ " is false. (Technically $\therefore$ is just logical conjunction, but with an implied hint that the right …

  9. Confusion on reading multiple ways of p implies q

    May 12, 2024 · Confusion on reading multiple ways of p implies q Ask Question Asked 1 year, 9 months ago Modified 1 year, 8 months ago

  10. Why isn't the negation of "p implies q" "p implies not q"?

    Sep 11, 2022 · Clearly, it is not possible for "p implies q" and "p implies not q" to be true at the same time since if p is true then q would have to be both true and false. To prove that "p implies q" and "p …