[Merged by Bors] - feat: Add mul_inv and inv_mul versions of div_le_one_of_le#10597
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[Merged by Bors] - feat: Add mul_inv and inv_mul versions of div_le_one_of_le#10597
mul_inv and inv_mul versions of div_le_one_of_le#10597Conversation
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Possibly I should add |
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Yes, and iff versions assuming |
mul_inv_le_one_of_le is an a * b⁻¹ div_le_one_of_lemul_inv_le_one_of_le is an a * b⁻¹ version of div_le_one_of_le
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mul_inv_le_one_of_le is an a * b⁻¹ version of div_le_one_of_lemul_inv and inv_mul versions of div_le_one_of_le
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Now that's better! |
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@YaelDillies: Would you be up for a review and approval if it seems reasonable? |
YaelDillies
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Feb 20, 2024
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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Feb 20, 2024
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Thanks!
maintainer merge
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What’s the next step after “maintainer merge”? |
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Nothing on your part. A maintainer will merge the PR or come up with a comment I hadn't thought of. |
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Thanks! 🎉 |
mathlib-bors bot
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Feb 22, 2024
) These are exactly `div_le_one_of_le` with `a / b` replaced by `a * b⁻¹` and `b⁻¹ * a`. They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with `0 < b` already exist as `mul_inv_le_one_iff` and `inv_mul_le_one_iff`; the point of these is to have a weaker nonnegativity assumption on `b`.
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Pull request successfully merged into master. Build succeeded: |
mul_inv and inv_mul versions of div_le_one_of_lemul_inv and inv_mul versions of div_le_one_of_le
thorimur
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Feb 24, 2024
) These are exactly `div_le_one_of_le` with `a / b` replaced by `a * b⁻¹` and `b⁻¹ * a`. They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with `0 < b` already exist as `mul_inv_le_one_iff` and `inv_mul_le_one_iff`; the point of these is to have a weaker nonnegativity assumption on `b`.
thorimur
pushed a commit
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this pull request
Feb 26, 2024
) These are exactly `div_le_one_of_le` with `a / b` replaced by `a * b⁻¹` and `b⁻¹ * a`. They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with `0 < b` already exist as `mul_inv_le_one_iff` and `inv_mul_le_one_iff`; the point of these is to have a weaker nonnegativity assumption on `b`.
riccardobrasca
pushed a commit
that referenced
this pull request
Mar 1, 2024
) These are exactly `div_le_one_of_le` with `a / b` replaced by `a * b⁻¹` and `b⁻¹ * a`. They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with `0 < b` already exist as `mul_inv_le_one_iff` and `inv_mul_le_one_iff`; the point of these is to have a weaker nonnegativity assumption on `b`.
dagurtomas
pushed a commit
that referenced
this pull request
Mar 22, 2024
) These are exactly `div_le_one_of_le` with `a / b` replaced by `a * b⁻¹` and `b⁻¹ * a`. They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with `0 < b` already exist as `mul_inv_le_one_iff` and `inv_mul_le_one_iff`; the point of these is to have a weaker nonnegativity assumption on `b`.
xgenereux
pushed a commit
that referenced
this pull request
Apr 15, 2024
) These are exactly `div_le_one_of_le` with `a / b` replaced by `a * b⁻¹` and `b⁻¹ * a`. They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with `0 < b` already exist as `mul_inv_le_one_iff` and `inv_mul_le_one_iff`; the point of these is to have a weaker nonnegativity assumption on `b`.
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These are exactly
div_le_one_of_lewitha / breplaced bya * b⁻¹andb⁻¹ * a.They come up frequently because some tactics produce inverses as normal forms over division. The iff versions with
0 < balready exist asmul_inv_le_one_iffandinv_mul_le_one_iff; the point of these is to have a weaker nonnegativity assumption onb.