[P2-Safe API] `carrying_mul`

[Yenyun035]

Official Repo Tracking Issue

Tasks :

1. Write individual proofs for verifying the absence of arithmetic overflow/underflow and undefined behavior for all integer types: i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, usize.
2. Add proofs into a dedicated file. a. For example, library/core/src/num/mod.rs
3. Please make sure not to modify other people's code, since we will be co-working on the same files. Avoid code conflicts as much as possible. Pull code every time a merge is made.

IMP: comment with the branch name you will be working on, with its link.

Ref: https://github.com/rajathkotyal/verify-rust-std/blob/main/doc/src/challenges/0011-floats-ints.md

[lanfeima]

Lanfei self-assign to Lanfei

[lanfeima]

114 Resolve the issue.