As we can see,there are some conditions given in a proposition. If there are 2 propositions having approximate conclusions.Usually，we can name one propositions gives more rigorous conditions than the other. My question is that whether there is a good system to weigh the conditions given in a proposition.e.g. a condition "uniform convergence"is stricter than a condition"convergence". Can we give each condition a value to show their importance?

As we can see,there are some conditions given in a proposition. If there are 2 propositions having approximate conclusions.Usually，we can name one propositions gives stronger conditions than the other. My question is that whether there is a good system to weigh the conditions given in a proposition.e.g. a condition "uniform convergence"is stronger than a condition"convergence". Can we give each condition a value to show their sharpness?

As we can see,there are some conditions given in a proposition. If there are 2 propositions having approximate conclusions.Usually，we can name one propositions gives more rigorous conditions than the other. My question is that whether there is a good system to weight the conditions given in a proposition.e.g. a condition "uniform convergence"is stricter than a condition"convergence". Can we give each condition a value to show their importance?

As we can see,there are some conditions given in a proposition. If there are 2 propositions having approximate conclusions.Usually，we can name one propositions gives more rigorous conditions than the other. My question is that whether there is a good system to weigh the conditions given in a proposition.e.g. a condition "uniform convergence"is stricter than a condition"convergence". Can we give each condition a value to show their importance?