conditional relation vs logical implication

conditional relation and logical implication both are nouns.

Word	Noun	Adjective	Verb	Adverb
conditional relation	Yes	No	No	No
logical implication	Yes	No	No	No

As nouns, conditional relation and logical implication are synonyms defined as:

conditional relation and logical implication: a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false

Other synonyms of conditional relation include implication.

conditional relation (noun)	logical implication (noun)
a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false	a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false