An Isabelle/HOL Formalisation of Green’s Theorem
We formalise a statement of Green’s theorem in Isabelle/HOL, which is its first formalisation to our knowledge. The theorem statement that we formalise is enough for most applications, especially in physics and engineering. An interesting aspect of our formalisation is that we neither formalise orientations nor region boundaries explicitly, with respect to the outwards-pointing normal vector. Instead we refer to equivalences between paths.
KeywordsElementary Region Line Integral Horizontal Edge Original Boundary Regular Region
This research was supported in part by an Australian National University - International Alliance of Research Universities Travel Grant and by an Australian National University, College of Engineering and Computer Science Dean’s Travel Grant Award. Also, the first author thanks Katlyn Quenzer for helpful discussions.
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