Add fmt::Write to io::Write adapter

[SUPERCILEX]

Closes #77733

ACP: rust-lang/libs-team#133

[rustbot]

r? @thomcc

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[rustbot]

Hey! It looks like you've submitted a new PR for the library teams!

If this PR contains changes to any rust-lang/rust public library APIs then please comment with @rustbot label +T-libs-api -T-libs to tag it appropriately. If this PR contains changes to any unstable APIs please edit the PR description to add a link to the relevant API Change Proposal or create one if you haven't already. If you're unsure where your change falls no worries, just leave it as is and the reviewer will take a look and make a decision to forward on if necessary.

Examples of T-libs-api changes:

• Stabilizing library features
• Introducing insta-stable changes such as new implementations of existing stable traits on existing stable types
• Introducing new or changing existing unstable library APIs (excluding permanently unstable features / features without a tracking issue)
• Changing public documentation in ways that create new stability guarantees
• Changing observable runtime behavior of library APIs

[SUPERCILEX]

@rustbot label +T-libs-api -T-libs

[thomcc]

This needs an ACP

[SUPERCILEX]

@thomcc Done: rust-lang/libs-team#133

[thomcc]

Re-adding waiting-on-ACP since I can't do anything with it and it's in my review queue otherwise.

[bors]

☔ The latest upstream changes (presumably #110648) made this pull request unmergeable. Please resolve the merge conflicts.

[SUPERCILEX]

@rustbot ready. The ACP and this PR should be ready now.

[SUPERCILEX]

I just put out a similar proposal for Hashers: rust-lang/libs-team#309

[SUPERCILEX]

I no longer think this is the appropriate implementation, though I still want composability between writeable traits. In the meantime, I've created this crate which generalizes over adapters, requiring only a single import: https://docs.rs/io-adapters/latest