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implies    音标拼音: [ɪmpl'ɑɪz]
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  • 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)
  • logic - Difference between $\Rightarrow$ and $\implies$ - Mathematics . . .
    Semantics of the LaTeX source: Glyphs named \implies or \iff can add semantics to the source code However, source semantics is far from being perfect, so that this point is only mentioned for completeness
  • 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:
  • Implication Logic Truth Table Explained - Mathematics Stack Exchange
    A third thing is not to confuse material implication and logical implication : when you say that "A materially implies B" you simply assert that you are, factually, on line (1), or (3) or (4) of the truth table , that is, a situation in which you are not on line (2); this is why ( given the factual truth values in the actual world of the
  • Implies sign in math - Mathematics Stack Exchange
    The quantities $3x + 4$ and $10$ are equal However, the statement $3x + 4 = 10$ implies that $3x = 6$ Share
  • 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"
  • Do I understand the difference between $\\implies$ and $\\to$?
    $\implies$ can be used with other valid formulas that involve quantifiers or other non-logical symbols For another example, $$(\forall x\ \forall y\ (x+y=y+x)\text{ and }x+1=3)\implies 1+x=3$$ which we wouldn't be able to conclude when thinking only in propositional logic ("x+1=3" and "1+x=3" are just two completely separate propositions with
  • 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)





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