For any sets S, T, consider the claim that (Sx T) n (T x S) - (S × S) = 0. Consider the proof that supposes (Sx T) (T × S) - (S × S) ‡ Ø and wants to show that ³x : [x € (S× T) ^ x ‡ (T × S)]. True or False: This is a valid proof approach that would prove the claim. (This is not asking whether this is an actual proof of the result. It's asking whether this general, high-level approach would suffice to prove the result.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For any sets S, T, consider the claim that
(S × T) ^ (T × S) – (S × S) = Ø.
Consider the proof that supposes (S× T) ^ (T × S) – (S × S) ‡ Ø
and wants to show that ³x : [x € (S × T) ^ x ‡ (T × S)].
True or False: This is a valid proof approach that would prove the claim.
(This is not asking whether this is an actual proof of the result. It's asking whether
this general, high-level approach would suffice to prove the result.)
True
False
Transcribed Image Text:For any sets S, T, consider the claim that (S × T) ^ (T × S) – (S × S) = Ø. Consider the proof that supposes (S× T) ^ (T × S) – (S × S) ‡ Ø and wants to show that ³x : [x € (S × T) ^ x ‡ (T × S)]. True or False: This is a valid proof approach that would prove the claim. (This is not asking whether this is an actual proof of the result. It's asking whether this general, high-level approach would suffice to prove the result.) True False
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