请教一道离散数学题Find a common universe for variables x, y, z, w for which the statement∀x∀y∀z∃w ((w≠x)∧(w≠ y)∧(w≠z))is true and another common universe for these variables in which it isfalse.

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请教一道离散数学题Find a common universe for variables x, y, z, w for which the statement∀x∀y∀z∃w ((w≠x)∧(w≠ y)∧(w≠z))is true and another common universe for these variables in which it isfalse.
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请教一道离散数学题Find a common universe for variables x, y, z, w for which the statement∀x∀y∀z∃w ((w≠x)∧(w≠ y)∧(w≠z))is true and another common universe for these variables in which it isfalse.
请教一道离散数学题
Find a common universe for variables x, y, z, w for which the statement
∀x∀y∀z∃w ((w≠x)∧(w≠ y)∧(w≠z))
is true and another common universe for these variables in which it is
false.

请教一道离散数学题Find a common universe for variables x, y, z, w for which the statement∀x∀y∀z∃w ((w≠x)∧(w≠ y)∧(w≠z))is true and another common universe for these variables in which it isfalse.
When the common universe is R,the statement is true.
When the common universe is {1,2,3},it is false.

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