if p, then q
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if _, then _
if p, then q
q if p
if p, then q
q provided that p
if p, then q
_ is a sufficient condition for _
p is a sufficient condition for q
_ only if _
p only if q
_ if _
q if p
_ is a necessary condition for _
q is a necessary condition for p
p implies q
q is a necessary condition for p
q ___ p
q is a necessary condition for p; q provided that p; q if p
_ provided that _
q provided that p
p only if q
q provided that p
q if p
q provided that p
p is a sufficient condition for q
q whenever p
