[Merged by Bors] - chore(Data/Set): add missing Set.forall_mem_* lemmas

[plp127]

Add lemmas Set.forall_mem_inter, Set.forall_mem_union, Set.forall_mem_singleton, Set.forall_mem_univ, Set.forall_mem_iUnion, Set.forall_mem_iUnion₂, Set.forall_mem_biUnion, and their exists counterparts.

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[github-actions]

PR summary 762e11aa2a

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ Nonempty.exists_const
+ exists_mem_biUnion
+ exists_mem_const
+ exists_mem_empty
+ exists_mem_iUnion
+ exists_mem_iUnion₂
+ exists_mem_inter
+ exists_mem_ofPred
+ exists_mem_singleton
+ exists_mem_union
+ exists_mem_univ
+ forall_mem_biUnion
+ forall_mem_iUnion
+ forall_mem_iUnion₂
+ forall_mem_inter
+ forall_mem_ofPred
+ forall_mem_singleton
+ forall_mem_union
+ forall_mem_univ

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit 762e11a).

• +19 new declarations
• −0 removed declarations

+Set.Nonempty.exists_const
+Set.exists_mem_biUnion
+Set.exists_mem_const
+Set.exists_mem_empty
+Set.exists_mem_iUnion
+Set.exists_mem_iUnion₂
+Set.exists_mem_inter
+Set.exists_mem_ofPred
+Set.exists_mem_singleton
+Set.exists_mem_union
+Set.exists_mem_univ
+Set.forall_mem_biUnion
+Set.forall_mem_iUnion
+Set.forall_mem_iUnion₂
+Set.forall_mem_inter
+Set.forall_mem_ofPred
+Set.forall_mem_singleton
+Set.forall_mem_union
+Set.forall_mem_univ

---

No changes to strong technical debt.

Increase in weak tech debt: (relative, absolute) = (1.00, 0.20)

Current number	Change	Type (weak)
5	1	large files

Current commit 762e11aa2a
Reference commit ac10dc7e9a

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/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).

[Ruben-VandeVelde]

maintainer merge

[github-actions]

🚀 Pull request has been placed on the maintainer queue by Ruben-VandeVelde.

[j-loreaux]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• ci (staging) / Build
• ci (staging) / Test and lint
• ci (staging) / Lint style
• ci (staging) / Post-Build Step
• ci (staging) / Post-CI job