logic - Difference between $\implies$ and $\;\therefore . . . "Implies" is completely different "A implies B" means that IF A is true, then B is also true It makes no statement about the truth of A Latex \implies ($\implies$), \Rightarrow ($\Rightarrow$), and \Longrightarrow ($\Longrightarrow$) all give the double right arrow that is often used to mean "implies" Sometimes a single right arrow is used
What does imply mean in maths? - Mathematics Stack Exchange Examples of such strong assertions are Jammy is both kerplung and zingsty implies that Jammy is not neither kerplung nor zingsty and ∀x (x>5 implies that x>5 or x<9), which are true irrespective of what ‘kerplung’, ‘zingsty’, ‘>’ and ‘<’ mean)
Symbol for if and only if: $\\implies$ or $\\iff$? $$8x + 2x - 44 = 220 + 4 - x \implies 11x = 268 \implies x = 24 36$$ It is legal to use $\implies$ despite of equivalence because you show the direction of your derivation But, I am not mathematician And I really find your question interesting I think that professional proofs use turnstile, ⊢, for your implication instead:
Is “implies” the best symbol when rewriting equations? In my mathematical homework, I usually indicate algebraic rewrites of equations using implication, and the symbol quot;$\\implies$ quot; (LaTeX \\implies) For instance, I might write $$ 3 x - y = 0 \\
Difference between implies and turnstile symbols (→ and ⊢) 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 behold, we find being confusingly used both ways [in the object language, or in the metalanguage]
Difference between AND Implies - Mathematics Stack Exchange I have problem understanding the difference between using Implies and and in first order logic expressions If we take a statement "everyone in this A I class has taken a course in mathematical logic" and "John is a student in this class" leads to "John has taken a course in mathematical logic"
logic - Using implies to refer to material conditional - Mathematics . . . Is it acceptable to translate the binary connective "$\let\ f\rightarrow$" into English with "implies"? I'm unsure because "implies" for me immediately brings to mind logical implication, but I've seen some places use it for the material conditional (including wikipedia, in the opening sentence of this article)
When to use $\\;\\to\\;$ vs $\\;\\implies\\;$ in discrete math? So you can use either, though $\implies$ may be better if it is less likely to confused with other meanings, as can happen with $\rightarrow$ $\endgroup$ – Henry Commented Aug 7, 2021 at 18:46