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[Merged by Bors] - feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ #18317

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@MichaelStollBayreuth MichaelStollBayreuth commented Jan 27, 2023

This PR adds a lemma on the fractional part:

lemma fract_pos : 0 < fract a ↔ a ≠ ⌊a⌋

Match leanprover-community/mathlib4#1921

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@MichaelStollBayreuth MichaelStollBayreuth 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 modifies-synchronized-file This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR. labels Jan 27, 2023
@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Jan 27, 2023
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@MichaelStollBayreuth MichaelStollBayreuth changed the title feat(algebra/order/floor): add two lemmas feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ Jan 29, 2023
@MichaelStollBayreuth MichaelStollBayreuth changed the title feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ Jan 29, 2023
@MichaelStollBayreuth MichaelStollBayreuth changed the title feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ Jan 29, 2023
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bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Jan 31, 2023
bors bot pushed a commit to leanprover-community/mathlib4 that referenced this pull request Jan 31, 2023
bors bot pushed a commit that referenced this pull request Jan 31, 2023
This PR adds a lemma on the fractional part:
```lean
lemma fract_pos : 0 < fract a ↔ a ≠ ⌊a⌋
```
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bors bot commented Jan 31, 2023

Build failed (retrying...):

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urkud commented Jan 31, 2023

bors merge

bors bot pushed a commit that referenced this pull request Jan 31, 2023
This PR adds a lemma on the fractional part:
```lean
lemma fract_pos : 0 < fract a ↔ a ≠ ⌊a⌋
```
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bors bot commented Jan 31, 2023

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ [Merged by Bors] - feat(algebra/order/floor): 0 < fract a ↔ a ≠ ⌊a⌋ Jan 31, 2023
@bors bors bot closed this Jan 31, 2023
@bors bors bot deleted the fract_pos branch January 31, 2023 19:36
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4 participants