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[Merged by Bors] - feat(Topology/Instances/EReal/Lemmas): add lemmas about limsup and multiplication#21833

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[Merged by Bors] - feat(Topology/Instances/EReal/Lemmas): add lemmas about limsup and multiplication#21833
D-Thomine wants to merge 3 commits intomasterfrom
D-Thomine/EReal_limsup_mul

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This PR adds lemmas about liminf (u * v) and limsup (u * v) in extended reals. See this file for similar results in the reals.

The strategy is the same, with a bunch of auxiliary lemmas in Data/Real/EReal.

I also took this opportunity to do some moderate cleaning in Data/Real/EReal: minor golfing and uniformization of variable names.


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github-actions bot commented Feb 13, 2025

PR summary fd9b369243

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ div_mul_div_comm
+ div_pos
+ instance : MulPosReflectLT EReal := MulPosMono.toMulPosReflectLT
+ le_liminf_mul
+ le_limsup_mul
+ le_mul_of_forall_lt
+ liminf_mul_le
+ limsup_mul_le
+ mul_div_left_comm
+ mul_le_mul_of_nonpos_right
+ mul_le_of_forall_lt_of_nonneg
- instance : MulPosReflectLT EReal

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@D-Thomine D-Thomine marked this pull request as ready for review February 13, 2025 17:08
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bors r+
Thanks!

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 22, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 22, 2025
…ltiplication (#21833)

This PR adds lemmas about `liminf (u * v)` and `limsup (u * v)` in extended reals. See [this file](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Algebra/Order/LiminfLimsup.html#limsup_mul_le) for similar results in the reals.

The strategy is the same, with a bunch of auxiliary lemmas in [Data/Real/EReal](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Real/EReal).

I also took this opportunity to do some moderate cleaning in [Data/Real/EReal](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Real/EReal): minor golfing and uniformization of variable names.
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mathlib-bors bot commented Feb 22, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Topology/Instances/EReal/Lemmas): add lemmas about limsup and multiplication [Merged by Bors] - feat(Topology/Instances/EReal/Lemmas): add lemmas about limsup and multiplication Feb 22, 2025
@mathlib-bors mathlib-bors bot closed this Feb 22, 2025
@mathlib-bors mathlib-bors bot deleted the D-Thomine/EReal_limsup_mul branch February 22, 2025 09:21
Julian added a commit that referenced this pull request Feb 22, 2025
* origin/master:
  chore(*): add `@[fun_prop]` (#22183)
  chore(RingTheory): generalize universes for `isUnramified_iff_map_eq` (#22185)
  chore(Algebra/GroupPower/IterateHom): move all lemmas earlier (#22132)
  feat(Probability): ae filter and integrability wrt a composition of kernel and measure (#22074)
  feat(CategoryTheory): forgetting the group structure on the codomain of left-exact functors (#21973)
  feat(CategoryTheory): embeddings for opposites of Grothendieck abelian categories (#22182)
  feat(CategoryTheory): `AsSmall C` is abelian (#22184)
  feat(CategoryTheory): explicit argument versions of `epi_comp` and `mono_comp` (#22181)
  feat(Topology/Instances/EReal/Lemmas): add lemmas about limsup and multiplication (#21833)
  feat: basic structural lemmas about finite crystallographic root pairings. (#21932)
  Rename `Mem𝓛p` to `MemLp` (#22164)
  feat(Logic/Equiv): Upgrade arrowProdEquivProdArrow to dependent types (#21518)
  feat(CategoryTheory): Grothendieck abelian categories have enough injectives (#20079)
  chore: deprecate Finite.cast_card_eq_mk (#22161)
  feat(CategoryTheory/Limits/Fubini): relax `HasLimits` hypotheses (#20570)
  chore(Algebra/Order/Monoid/Unbundled/WithTop): golf, clean up (#22109)
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