"crucial implication" is correct and usable in written English.
You can use it when you are referring to an implication that is extremely important or essential. For example: "The crucial implication of this research is that it might provide new insights into how climate change is affecting the environment."
The other crucial implication is that fathers - whether or not they are home-based - need to start seriously bonding with their daughters if they do not want them to turn into women at the age of 11.
The crucial implication is this: If you treat all individuals as fundamentally the same in your theoretical constructs, it would be odd to insist that the law should suddenly start treating them differently.
The crucial implication of his approach is that great dao has no normative force.
A further crucial implication of the high level of job turnover is that it also facilitates entry into the labour market for youth.
A crucial implication of this doctrine is that people whose conscious states are alike must be justified in believing the same propositions.
This feature has crucial implication because the need for gas phase oxidation of NO reduces and hence the absorption column becomes compact due to reduction in oxidation volume.
If defective autophagy plays a crucial role in neurodegeneration in general, its implication in PD in particular is increasingly recognised.
But longevity is not just about ageing – it has crucial implications for all ages.
That has potentially crucial implications for the government's interaction with Greece's creditors.
The authors stress these findings' crucial implications for the care of people with dementia.
"Results show that the impact of climate changes on natural organic soils can be accelerated by microbial heat production with crucial implications for the amounts of carbon being decomposed," said the study.
