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Yes, it's "if and only if", and he's most definitely correct about that. Your statement with the "if" is correct as stands. Wow  I've been teaching Algebra 1 for tooooooo long! :)

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Would it be possible to add the following to the list of "fields":
Thanks!! :) 
That's too long to be done just like that. You can make the lists of the vocabulary you want to learn and then we'll be able to help you find the equivalents, so they'll be added to the tables. :)

Had a spare moment, so:
Geometría (la) = Geometry Análisis (el) = Analysis Topología (la) = Topology Probabilidad (la) = Probability Estadística (la) = Statistics Matemática discreta (la) = Discrete Mathematics Teoría de números (la) = Number Theory Aritmética (la) = Arithmetic Combinatoria (la) = Combinatorics Ecuaciones diferenciales (las) = Differential Equations Lógica (la) = Logic 
:D Thank you, Cloud... I thought she wanted to have vocabulary of each field added. ;)
I'll insert them later, when I have some spare time to format the tables. :) 
Thanks, both of you! Sorry I misstated my request, Malila. I definitely wouldn't have asked for vocabulary without specifying. The other day I found myself wanting to talk about the field of study of "Statistics" in general, and realized that I don't know the names of most of the fields of study within the umbrella of Mathematics when speaking Spanish. Thanks so much, Cloudy. :)
This comprehensive page of mathematical terms comes in very handy. I fully intend to add vocabulary to it from some lists that I have (especially Algebra vocabulary) when I have some free time...... 
No hay de qué. :)

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