empty Theorem prove
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Secondary School Math 5 points
Empty Theorem prove
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Me · Beginner
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piyushkumar19
piyushkumar19 Ace
Step-by-step explanation:
Chapter 2, Exercise 1: Prove that the empty set is a subset of every set.
My first intention would have been:
Let X be an arbitrary set, then ∅∪X=X∪∅=X⟹∅⊆X∅∪X=X∪∅=X⟹∅⊆X since S⊆S∪TS⊆S∪T and T⊆S∪TT⊆S∪T for arbitrary sets SS and TT. XX was arbitrary, thus the assertion holds. □◻
But I'm not completely sure, if the prove is complete, as I haven't seen this version anywhere within a quick google search. What would you say
if u like this u can mark me brainliest.
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