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feat(algebra/order/ring/lemmas): use typeclass zero_le_one_class #18158

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@FR-vdash-bot FR-vdash-bot commented Jan 13, 2023

…e namespace `without_zero_le_one`

The fourth part of #16449

There are still some useless lemmas which were simply ported from `algebra/order/monoid_lemmas`, this PR removes them.

Also some lemmas have both assumptions like `1 < a` `0 < a`, this is because the file does not use type classes like `zero_le_one_class` currently. So I put these lemmas in the namespace `without_zero_le_one`.
@FR-vdash-bot FR-vdash-bot added awaiting-review The author would like community review of the PR awaiting-CI The author would like to see what CI has to say before doing more work. t-algebra Algebra (groups, rings, fields etc) t-order Order hierarchy labels Jan 13, 2023
@mathlib-dependent-issues-bot mathlib-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Jan 13, 2023
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@FR-vdash-bot FR-vdash-bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Jan 13, 2023
@eric-wieser eric-wieser added the not-too-late This PR was ready at the point mathlib3 was frozen: we will try to merge it and port it to mathlib4 label Jul 15, 2023
FR-vdash-bot added a commit to leanprover-community/mathlib4 that referenced this pull request Dec 23, 2023
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Closing in favor of leanprover-community/mathlib4#9250

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awaiting-review The author would like community review of the PR blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. not-too-late This PR was ready at the point mathlib3 was frozen: we will try to merge it and port it to mathlib4 t-algebra Algebra (groups, rings, fields etc) t-order Order hierarchy
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