[Merged by Bors] - chore(Order/Defs/Unbundled): deprecate IsTotal in favor of core's Std.Total

[SnirBroshi]

---

Mathlib's IsTotal
Core's Std.Total

Zulip

[github-actions]

PR summary f3cf88f5ce

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ Colex.total_le
+ LE.total
+ Lex.total_le
+ LowerSet.total_le
+ OrderDual.total_le
+ Prop.le_total
+ Std.Total.decide
+ Std.Total.directed
+ Std.Total.isTrichotomous
+ Std.Total.swap
+ UpperSet.total_le
+ additive_of_isTotal
+ additive_of_symmetric_of_isTotal
+ compRel_of_total
+ instTotal
+ instance (priority := 100) Std.Total.to_isDirected [Std.Total r] : IsDirected α r
+ instance (priority := 100) Std.Total.to_refl (r : α → α → Prop) [Std.Total r] : Std.Refl r
+ instance : @Std.Total (MulArchimedeanOrder M) (· ≤ ·)
+ instance [@Std.Total α (· ≤ ·)] : @Std.Total (Quotient s) (· ≤ ·)
+ instance [DecidableLE α] [DecidableLT α] [@Std.Total α (· ≤ ·)] :
+ instance [IsTrichotomous ι r] [∀ i, Std.Total (s i)] : Std.Total (Lex r s)
+ instance [Std.Total r] [Std.Total s] : Std.Total (Lex r s)
+ instance _root_.WithTop.total_le [LE α] [@Std.Total α (· ≤ ·)] :
+ instance {α} [Encodable α] : Std.Total (Encodable.encode' α ⁻¹'o (· ≤ ·))
+ multiplicative_of_symmetric_of_total
+ multiplicative_of_total
+ not_incompRel_of_total
+ total_left
+ total_right
++ total
++ total_le
++-- le_total_ideal
+-- isTotal
- Colex.isTotal_le
- IsTotal.decide
- IsTotal.directed
- IsTotal.isTrichotomous
- IsTotal.swap
- LE.isTotal
- Lex.isTotal_le
- LowerSet.isTotal_le
- OrderDual.isTotal_le
- Prop.le_isTotal
- UpperSet.isTotal_le
- instIsTotal
- instance (priority := 100) IsTotal.to_isDirected [IsTotal α r] : IsDirected α r
- instance (priority := 100) IsTotal.to_refl (r) [IsTotal α r] : Std.Refl r
- instance : IsTotal (MulArchimedeanOrder M) (· ≤ ·)
- instance [DecidableLE α] [DecidableLT α] [IsTotal α (· ≤ ·)] :
- instance [IsTotal α (· ≤ ·)] : IsTotal (Quotient s) (· ≤ ·)
- instance [IsTotal α r] [IsTotal β s] : IsTotal (α ⊕ β) (Lex r s)
- instance [IsTrichotomous ι r] [∀ i, IsTotal (α i) (s i)] : IsTotal _ (Lex r s)
- instance _root_.WithTop.isTotal_le [LE α] [IsTotal α (· ≤ ·)] : IsTotal (WithTop α) (· ≤ ·)
- instance {α} [Encodable α] : IsTotal _ (Encodable.encode' α ⁻¹'o (· ≤ ·))
- isTotal_left
- isTotal_right
-- isTotal_le

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).

[mathlib4-merge-conflict-bot]

This pull request has conflicts, please merge master and resolve them.

[jcommelin]

Thanks 🎉

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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