[Mingw-w64-public] link MinGW64 library under Cygwin?

[Dock, D. <dio...@me...>]

Is it possible to create a library with MinGW64's gcc and use Cygwin's gcc to link it into a binary?  Or is this breaking the "use the same compiler for all parts" rule of thumb?

I've created a 32 bit library using MinGW64.  However, the binary has problems.  If I invoke it from Cygwin, I get
               R6034
               An application has made an attempt to load the C runtime library incorrectly.
Invoking the exe from a Command shell produces
               The program can't start because cygwin1.dll is missing from your computer.

What am I missing?

thanks again,
-Dion