(a) Show that the formula (VæR(g(x), x) = Vx3yR(y,x)) is universally valid, where g is a 1-place function symbol and R is a 2-place relation symbol. (b) Prove that Ex=y= (f(x,y, x) = f(y,x, y)) where f is a 3-place function symbol.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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(a) Show that the formula (VæR(g(x), x) → Vx3yR(y, x)) is universally valid,
is a l-place function symbol and R is a 2-place relation symbol.
where
(b) Prove that F x= y = (f(x,y, x) ~ f(y, x, y)) where f is a 3-place function
symbol.
Transcribed Image Text:(a) Show that the formula (VæR(g(x), x) → Vx3yR(y, x)) is universally valid, is a l-place function symbol and R is a 2-place relation symbol. where (b) Prove that F x= y = (f(x,y, x) ~ f(y, x, y)) where f is a 3-place function symbol.
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