feat(NumberTheory): use IsApply for ModularForm etc

[mcdoll]

We use IsApply classes for SlashInvariantForm, ModularForm and CuspForm at the same time to avoid temporary name clashes and since they are not used as widely as LinearMap and ContinuousLinearMap for example.

---

[github-actions]

PR summary 318cc4212e

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ IsGLPos.instSMulApply
+ coeHom_apply
+ instIsSMulApplyℂ
+ instIsSMulApplyℝ
+ instSMulApply
+ instance : AddCommGroup (CuspForm Γ k) := fast_instance% FunLike.addCommGroup
+ instance : AddCommGroup (ModularForm Γ k) := fast_instance% FunLike.addCommGroup
+ instance : AddCommGroup (SlashInvariantForm Γ k) := fast_instance% FunLike.addCommGroup
+ instance : IsAddApply (CuspForm Γ k) ℍ ℂ
+ instance : IsAddApply (ModularForm Γ k) ℍ ℂ
+ instance : IsAddApply (SlashInvariantForm Γ k) ℍ ℂ
+ instance : IsNegApply (CuspForm Γ k) ℍ ℂ
+ instance : IsNegApply (ModularForm Γ k) ℍ ℂ
+ instance : IsNegApply (SlashInvariantForm Γ k) ℍ ℂ
+ instance : IsSubApply (CuspForm Γ k) ℍ ℂ
+ instance : IsSubApply (ModularForm Γ k) ℍ ℂ
+ instance : IsSubApply (SlashInvariantForm Γ k) ℍ ℂ
+ instance : IsZeroApply (CuspForm Γ k) ℍ ℂ
+ instance : IsZeroApply (ModularForm Γ k) ℍ ℂ
+ instance : IsZeroApply (SlashInvariantForm Γ k) ℍ ℂ
+ instance : Module ℝ (CuspForm Γ k) := fast_instance% FunLike.module
+ instance : Module ℝ (ModularForm Γ k) := fast_instance% FunLike.module
+ instance [Γ.HasDetOne] : Module ℂ (CuspForm Γ k) := fast_instance% FunLike.module
+ instance [Γ.HasDetOne] : Module ℂ (ModularForm Γ k) := fast_instance% FunLike.module
++ instance : IsSMulApply α (SlashInvariantForm Γ k) ℍ ℂ
+++--- add_apply
+++--- coeHom
+++--- coe_add
+++--- coe_neg
+++--- coe_smul
+++--- coe_sub
+++--- coe_zero
+++--- neg_apply
+++--- smul_apply
+++--- sub_apply
++-- IsGLPos.coe_smul
++-- IsGLPos.smul_apply
++-- zero_apply
- instance : AddCommGroup (CuspForm Γ k)
- instance : AddCommGroup (ModularForm Γ k)
- instance : AddCommGroup (SlashInvariantForm Γ k)
- instance : Module ℝ (CuspForm Γ k)
- instance : Module ℝ (ModularForm Γ k)
- instance [Γ.HasDetOne] : Module ℂ (CuspForm Γ k)
- instance [Γ.HasDetOne] : Module ℂ (ModularForm Γ k)

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 318cc42).

• +18 new declarations
• −1 removed declarations

+CuspForm.IsGLPos.instSMulApply
+CuspForm.instIsAddApplyUpperHalfPlaneComplex
+CuspForm.instIsNegApplyUpperHalfPlaneComplex
+CuspForm.instIsSubApplyUpperHalfPlaneComplex
+CuspForm.instIsZeroApplyUpperHalfPlaneComplex
+CuspForm.instSMulApply
-ModularForm.coeHom_apply
+ModularForm.instIsAddApplyUpperHalfPlaneComplex
+ModularForm.instIsNegApplyUpperHalfPlaneComplex
+ModularForm.instIsSMulApplyℂ
+ModularForm.instIsSMulApplyℝ
+ModularForm.instIsSubApplyUpperHalfPlaneComplex
+ModularForm.instIsZeroApplyUpperHalfPlaneComplex
+SlashInvariantForm.instIsAddApplyUpperHalfPlaneComplex
+SlashInvariantForm.instIsNegApplyUpperHalfPlaneComplex
+SlashInvariantForm.instIsSMulApplyUpperHalfPlaneComplex
+SlashInvariantForm.instIsSMulApplyUpperHalfPlaneComplex_1
+SlashInvariantForm.instIsSubApplyUpperHalfPlaneComplex
+SlashInvariantForm.instIsZeroApplyUpperHalfPlaneComplex

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit 318cc4212e
Reference commit 1a783458e3

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).