Usage of the word "implies" when sure of a result

If I have a proven without a doubt that drinking cyanide means certain death, is it correct to write the following?

The result of the study implies that drinking cyanide leads to certain death.

Imply is a word that has two confusingly different definitions:

im·ply (m-pl) tr.v. im·plied, im·ply·ing, im·plies 1. To involve by logical necessity; entail: (AHD)

imply [ɪmˈplaɪ] vb -plies, -plying, -plied (tr; may take a clause as object) 1. to express or indicate by a hint; suggest (Collins)

Note that these are the first senses listed by these two dictionaries.

In maths, we always took the 'implication sign' to mean 'necessarily leads to the conclusion that' (ie AHD's primary sense), but in conversational English, we usually meant / mean (UK) hint / suggest when we used / use imply.

You need to define your terms if you are to avoid confusion - will your audience be guaranteed to know which usage you intend?