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1A proposition that follows from (and is often appended to) one already proved.
‘The fan theorem is, in fact, a corollary of the bar theorem; combined with the continuity principle, which is not classically valid, it yields the continuity theorem.’
‘This theorem gave, as a corollary, the complete structure of all finite projective geometries.’
‘For these angles, the contradiction used to prove the corollary does not arise.’
‘As a corollary to this theorem Higman proved the existence of a universal finitely presented group containing every finitely presented group as a subgroup.’
‘This had the remarkable corollary that non-euclidean geometry was consistent if and only if euclidean geometry was consistent.’
1.1A direct or natural consequence or result.
‘the huge increases in unemployment were the corollary of expenditure cuts’
‘The corollary to this is that the readers need to understand that as well: that reporters are human, we have our ideas, and most of us are trying our best to find out the truth.’
‘The corollary to this is: some insurance companies are ripping customers off by charging double.’
‘An implicit corollary to this assertion is the idea that nations judge their rivals primarily according to their interests rather than their ideals.’
‘This means that we, pedestrians, have as much of a right to the streets as the cars do (the corollary to this is that the cars occasionally come onto the sidewalks).’
‘The freedom of the press is a corollary to free speech.’
‘There was an interesting corollary to this scientist's play about scientists.’
‘The treadmill is a corollary to suburban sprawl: a device with which to go nowhere in places where there is now nowhere to go.’
‘The corollary to this part is likely to be pressure on other governments to adopt copyright law that matches that of the US.’
‘A corollary to this is that if you can get the little things right then you are much, much more likely to get the big things right.’
‘The corollary to these figures is that many businesses have trouble recruiting staff with the right level of skills.’
‘The plot is only a corollary to the main thrust of the book, which is basically an extended development of Christopher's character.’
‘It is a corollary to the directors' duty to act in the best interests of the company: the director cannot contract to act in a different way.’
‘It is interesting to note here that the hunt's most humane role - the tracking with hounds and quick dispatch of wounded deer - is a useful corollary to their role as cullers of excess deer by shooting.’
‘One can say, there cannot be any second thought about the genuineness of their intention, which they consider a corollary to the remarkable quality and range of products showcased in the auditorium.’
‘The corollary to that is more than 90% of tourists are positive about their visit and would recommend Ireland to friends.’
‘In fact, their competitive spirit was a corollary to their sense of participation in the various events held to mark the occasion.’
‘But well-informed doctors differ: they say the incidences are a corollary to the level of awareness among the people.’
‘The corollary to that, of course, is that without the supporting hand of ale or whisky we cannot bear to look reality in the face, let alone conquer our worst fears.’
‘Money may be a welcome corollary to writing but it can never be the main objective.’
‘Ultimately, they realised that the capacity of their eyes to see new things was a corollary to what their mind could comprehend.’
consequence, result, upshot, outcome, out-turn, effect, repercussion, reverberations, sequel, product, by-product, spin-off, conclusion, end, end result
1Forming a proposition that follows from one already proved.
‘In support of this proposition, three corollary arguments are presented.’
‘The British journal New Theatre Quarterly has even run a series of articles discussing the theatricality of the uncertainty principle and corollary axioms.’
1.1Associated or supplementary.
‘A corollary question discussed by the committee was whether leadership development initiatives should be curricular or extracurricular in nature.’
‘A potential corollary benefit of reducing duration of mechanical ventilation is a reduction in ventilator-associated complications.’
‘Her goal is to help women achieve healthy and long-lasting marriages, although the corollary implication is that women are responsible for failed relationships.’
‘Which brings us to a corollary tactic: Avoid context and specifics; whenever possible, generalize and keep repeating the generalization.’
‘In addition, there are several more specific corollary conclusions to the main finding.’
Origin
Late Middle English: from Latin corollarium ‘money paid for a garland or chaplet; gratuity’ (in late Latin ‘deduction’), from corolla, diminutive of corona ‘wreath, crown, chaplet’.