Examples of using If and only in English and their translations into Tagalog
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Ecclesiastic
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Colloquial
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Computer
are hereditary for subgraphs, which means that a graph has the property if and only if all subgraphs have it too.
proved that a rectangle can be squared if and only if its sides are commensurable
Prove that there is no number divisible by in the row of Pascal's triangle if and only if can be represented in the form,
one says there is a Hamiltonian path if and only if there is a path that starts at the start vertex,
i. e. that φ{\displaystyle\varphi} is a tautology, i. e. that it is always true, if and only if¬ φ⊢⊥{\displaystyle\neg\varphi\vdash\bot}, i. e. if the negation of φ{\displaystyle\varphi} is a contradiction.
that a graph has a Hamiltonian circuit if and only if it has a Hamiltonian circuit.
dependent on a set of elements if and only if it is contained in the subsystem generated by the set.
Prove that, if and only if. .
We conclude that if and only if. .
With equality if and only if triangle is equilateral.
Prove that if and only if is isosceles.
Prove that if and only if is obtuse.
are perpendicular if and only if. .
Prove that the triangle is equilateral if and only if. .
are collinear if and only if. .
Prove that if and only if lies on the circumcircle of triangle.
Show that for all we have for all if and only if. .
Prove that the diagonals are concurrent if and only if opposite sides are equal.
Show that is perpendicular to if and only if is the midpoint of.
Prove that the equation has a positive integer solution if and only if. .