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There are few tools that are both geared to mainstream programming languages and reasonable to work with. But probably the best place to start is Infer [1]. It's marketed as a static analyzer, in other words a way to prove some properties, but the separation logic at its heart is a powerful and general program proof technique.
In time, I hope and expect that the RustBelt project[2] will become a practical tool to prove Rust programs correct. It's already found some bugs in the standard library, and the main focus is currently to firm up the semantics of the language.
[1]: https://fbinfer.com/