chore(order/ConditionallyCompleteLattice): use to_dual more

[JovanGerb]

This PR uses to_dual in most remaining places in Mathlib.Order.ConditionallyCompleteLattice.Basic.

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[github-actions]

PR summary 078816d181

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ coe_sSup'
+ instInfSet
+ instance [SupSet α] : SupSet (WithTop α)
+ sInf_empty
+ sInf_eq
+ sInf_of_not_bddBelow
+ sInf_singleton_top
+ sSup_empty
+ sSup_eq
+ sSup_of_not_bddAbove
+ sSup_of_top_mem
+ sSup_singleton_top
- AntitoneOn.sSup_image_Icc
- MonotoneOn.csSup_eq_of_subset_of_forall_exists_le
- MonotoneOn.sSup_image_Icc
- WithBot.WithTop.completeLattice
- WithBot.sSup_empty
- WithTop.coe_sSup'
- WithTop.instInfSet
- WithTop.instSupSet
- WithTop.sInf_empty
- WithTop.sInf_eq
- WithTop.sInf_of_not_bddBelow
- WithTop.sInf_singleton_top
- WithTop.sSup_empty
- WithTop.sSup_eq
- WithTop.sSup_of_not_bddAbove
- WithTop.sSup_of_top_mem
- WithTop.sSup_singleton_top
- bddBelow_Icc
- bddBelow_Ico
- bddBelow_Ioc
- bddBelow_Ioo
- ciInf_eq_univ_of_not_bddBelow
- ciInf_of_not_bddBelow
- csInf_Ioc
- csInf_Ioi
- csInf_Ioo
- csInf_eq_bot_of_bot_mem
- csInf_eq_csInf_of_forall_exists_le
- csInf_eq_of_forall_ge_of_forall_gt_exists_lt
- csInf_eq_univ_of_not_bddBelow
- csInf_image2_eq_csInf_csInf
- csInf_image2_eq_csInf_csSup
- csInf_image2_eq_csSup_csInf
- csInf_image2_eq_csSup_csSup
- csInf_insert
- csInf_le_csInf
- csInf_le_iff
- csInf_lt_iff
- csInf_lt_of_lt
- csInf_of_not_bddBelow
- csInf_pair
- csInf_union
- csInf_upperBounds_eq_csSup
- csInf_upperBounds_range
- exists_lt_of_csInf_lt
- instance [CompleteLattice α] : CompleteLattice (WithBot α)
- isGLB_Icc
- isGLB_Ico
- isLUB_Ico
- isLUB_Ioo
- isLeast_Icc
- isLeast_Ico
- le_csInf_iff
- le_csInf_inter
- lowerBounds_Icc
- lowerBounds_Ico
- map_csInf_le_csInf_image
- notMem_of_csSup_lt
- sInf_iUnion_Ici
- upperBounds_Ico
- upperBounds_Ioo

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 078816d).

• +1 new declarations
• −0 removed declarations

+le_csInf_union

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit 078816d181
Reference commit 8bba420098

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).