Only if
conjunction
Used to express that something can happen or be true only when another specific condition is met.
You can go to the party only if you finish your homework.

Often appears as...
- only if you
- only if i
conjunction
Used to express a necessary condition in terms of a sufficient condition.
A set of axioms is consistent if and only if there is no contradiction derived from these axioms.

Often appears as...
- if and only if
- only if there
Usage tips
Formal
Academic
conjunction
Used to express that something can happen or be true only when another specific condition is met.
You can go to the party only if you finish your homework.

Often appears as...
- only if you
- only if i
conjunction
Used to express a necessary condition in terms of a sufficient condition.
A set of axioms is consistent if and only if there is no contradiction derived from these axioms.

Often appears as...
- if and only if
- only if there
Usage tips
Formal
Academic
Definition 1 of 2

Conditional Permission
Indicates permission is granted only when a specific requirement is fulfilled.

You may have dessert only if you eat your vegetables.
Implicit Limits
Highlights a single situation where an action or event is allowed, excluding other possibilities.

I'll lend you the book only if you return it next week.
Emphasis on Condition
Accentuates the importance of the condition that must be met for the result to occur.

He'll agree to the deal only if the terms are favorable.
Conditional Permission
Indicates permission is granted only when a specific requirement is fulfilled.

You may have dessert only if you eat your vegetables.
Implicit Limits
Highlights a single situation where an action or event is allowed, excluding other possibilities.

I'll lend you the book only if you return it next week.
Emphasis on Condition
Accentuates the importance of the condition that must be met for the result to occur.

He'll agree to the deal only if the terms are favorable.
Conditional Permission
Indicates permission is granted only when a specific requirement is fulfilled.

You may have dessert only if you eat your vegetables.
Implicit Limits
Highlights a single situation where an action or event is allowed, excluding other possibilities.

I'll lend you the book only if you return it next week.
Emphasis on Condition
Accentuates the importance of the condition that must be met for the result to occur.

He'll agree to the deal only if the terms are favorable.
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