Two more examples are given of proof by induction in Coq, both on the natural numbers. One is about subtraction, the other is about the commutativity of addition.
Textbook: https://clarksmr.github.io/sf-lectures/textbook/lf/toc.html
Supporting materials: https://github.com/clarksmr/sf-lectures/tree/main/notes/lf
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Example Proofs by Induction| Software Foundations in Coq | LF | Induction | NatokHD