logical implication vs conditional relation

logical implication and conditional relation both are nouns.

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

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

logical implication and conditional relation: 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 logical implication include implication.

logical implication (noun)	conditional relation (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