I'm searching for a word that means "A widens conditions for B". I mean that A has a positive influence on B and thanks to existence of A, B can exist in more tough conditions.
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I'm not sure if this fits for the fire example (despite -blaze), but in other cases it seems you could use the word trailblazing:
And in the original sense of the word, A's trailblazing would have literally "widened conditions for another" by making the trail more navigable.
If you really need one word, you could say that A assists or improves B.
Though if you want to make the relationship clearer, you would want to add more description, such as in:
These sound more natural. See them in action:
For a single verb:
(Unfortunately, my other single-word suggestion does not work in this case: "Fire improves man." But fire does improve a marshmallow. When applied in moderation.)
A term that may work is "allows for", as in "A allows for B". Because A exists, B is facilitated or assisted in some way; however, A is not a requirement of B as would be the case if you said "A allows B".