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  1. 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 $\\Rightarrow$ …

  2. 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 …

  3. 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 …

  4. Symbol for "if and only if": $\\implies$ or $\\iff$?

    The symbol $\implies$ means "implies" or "only if", and in $\LaTeX$, which you should use, it is called \implies. The symbol $\iff$ means "if and only if (iff)" or "implies and is implied by" or "is …

  5. 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 …

  6. Implies sign in math - Mathematics Stack Exchange

    Implies sign in math Ask Question Asked 14 years, 9 months ago Modified 12 years, 6 months ago

  7. Implication Logic Truth Table Explained - Mathematics Stack …

    Sep 19, 2021 · In simpler words, the true values in the truth table are for the statement A implies B. Conversely, if the result is false that means that the statement A implies B is also false.

  8. notation - When to use implies - Mathematics Stack Exchange

    I often wonder about notation and what is acceptable. I have seen many different ways of linking equations together, sometimes with just $=$ and others with $\\iff$ or $\\implies$. Now, I know …

  9. Can you prove that the logarithm is concave using the fact that …

    Good point, but you are missing a nuance from my comment. That is, while you don't wish to use the second derivative, there is no denying that the behavior of the second derivative is …

  10. logic - Why is the statement p"implies"q true if p is false ...

    Dec 7, 2019 · In other words, you have to take a holistic reading of the whole line, which is your definition. It doesn't make sense to say, for example, "if p is false, then it is true that p implies q".