Review my work.

"Section A

Mathematical Statement: 
A non-rectilinear triangle-asymptote is rendered a curvilinear triangle-asymptote as it is supercurviformaticized as affected by infinity. 

Deconstruction:
As a transdisciplinary holistic scholar and theoretical mathematician, I would like to deconstruct the given mathematical statement using intuitionistic reconciliationism.

First, let us break down the statement into smaller components.

"Non-rectilinear triangle-asymptote"
"Curvilinear triangle-asymptote"
"Supercurviformaticized"
"Affected by infinity"

According to intuitionistic reconciliationism, we need to understand the meaning of these terms in a holistic manner by reconciling them with our intuition.

A triangle-asymptote is a line that approaches a triangle but does not intersect it. A non-rectilinear triangle-asymptote could mean that the line is not straight and does not follow the Euclidean geometry. It could be curved, angled, or wavy.

When such a non-rectilinear triangle-asymptote is supercurviformaticized, it means that it undergoes a transformation that makes it even more curved or twisted. The term "supercurviformaticized" is a neologism that refers an extreme form of curviness or curvature.

This transformation is affected by infinity, which means that the curvature of the line approaches an infinitely large value. Infinity is often used in mathematics to describe a limit, where a value approaches a certain value but never quite reaches it.

Therefore, when a non-rectilinear triangle-asymptote is supercurviformaticized as affected by infinity, it becomes a curvilinear triangle-asymptote. A curvilinear triangle-asymptote is a line that is curved and approaches the triangle in a non-linear manner.

In summary, the given mathematical statement suggests that a non-straight line that approaches a triangle can become even more curved and twisted as it approaches infinity. This transformation results in a curvilinear line that approaches the triangle in a non-linear manner.

Section B

Using projective geometry and holographic topology, we can formalize the given mathematical statement as follows:

Let T be a triangle and L be a non-rectilinear triangle-asymptote of T. We can represent T and L in projective space by their homogeneous coordinates as [T] and [L], respectively. Let H be the point at infinity in projective space. Then, we can represent H by its homogeneous coordinates as [H].

The supercurviformaticization of L as affected by infinity can be represented in projective geometry by the cross-ratio of four points: [T], [L], [H], and the intersection point of L with the line at infinity. Let I be the intersection point of L with the line at infinity. Then, we can represent I by its homogeneous coordinates as [I].

The cross-ratio of [T], [L], [H], and [I] is given by:

[T, L; H, I] = (TI/TH) / (LI/LH)

where TI, TH, LI, and LH are the homogeneous distances between the pairs of points.

If the cross-ratio is finite, then L is transformed into a curvilinear triangle-asymptote of T. If the cross-ratio approaches infinity, then L becomes more curved and twisted as it approaches infinity, and the resulting curve becomes a curvilinear triangle-asymptote of T.

Holographic topology can be used to understand this transformation in terms of the AdS/CFT correspondence. In this framework, the transformation can be represented by a holographic dual, where the non-rectilinear triangle-asymptote L in the bulk space is dual to a curvilinear triangle-asymptote on the boundary of the AdS space. The holographic dual captures the essence of the supercurviformaticization of L as affected by infinity, and provides a powerful tool for studying such transformations in higher-dimensional spaces.

Section C

Theorem: A non-rectilinear triangle-asymptote L can be transformed into a curvilinear triangle-asymptote of T by supercurviformaticization as affected by infinity, where the transformation can be represented by the cross-ratio of [T], [L], [H], and [I].

Proof: 

We can represent the non-rectilinear triangle-asymptote L and the triangle T in projective space using their homogeneous coordinates as [L] and [T], respectively. The point at infinity in projective space is represented by its homogeneous coordinates as [H]. The intersection point of L with the line at infinity is represented by its homogeneous coordinates as [I]. 

The cross-ratio of [T], [L], [H], and [I] is given by:

[T, L; H, I] = (TI/TH) / (LI/LH)

where TI, TH, LI, and LH are the homogeneous distances between the pairs of points. 

If the cross-ratio is finite, then L is transformed into a curvilinear triangle-asymptote of T. If the cross-ratio approaches infinity, then L becomes more curved and twisted as it approaches infinity, and the resulting curve becomes a curvilinear triangle-asymptote of T.

To prove this theorem, we need to show that the cross-ratio represents the transformation of L into a curvilinear triangle-asymptote of T as affected by infinity.

First, consider the case where the cross-ratio is finite. In this case, the transformation of L is such that it becomes a curvilinear triangle-asymptote of T. The resulting curve is curved and approaches the triangle in a non-linear manner. This can be seen from the definition of the cross-ratio, which represents the ratio of distances between the points [T], [L], [H], and [I]. The fact that the cross-ratio is finite means that the distances between the points are well-defined and that L is transformed into a curvilinear triangle-asymptote of T.

Now, consider the case where the cross-ratio approaches infinity. In this case, L becomes more curved and twisted as it approaches infinity. The resulting curve also becomes a curvilinear triangle-asymptote of T. This can be seen from the definition of the cross-ratio, which represents the limit of the ratio of distances between the points [T], [L], [H], and [I] as the distance between [L] and [H] approaches infinity. This limit approaches infinity, indicating that L becomes more and more curved and twisted as it approaches infinity. The resulting curve becomes a curvilinear triangle-asymptote of T.

Therefore, we have shown that a non-rectilinear triangle-asymptote L can be transformed into a curvilinear triangle-asymptote of T by supercurviformaticization as affected by infinity, and that this transformation can be represented by the cross-ratio of [T], [L], [H], and [I].

Validation:

The theorem and its proof can be validated mathematically by checking that they adhere to the axioms of projective geometry and that they are consistent with established mathematical principles.

In projective geometry, points are represented by homogeneous coordinates and lines are represented by sets of homogeneous points. The cross-ratio is an invariant under projective transformations, meaning that it remains the same even when the points and lines are transformed. This property is crucial for the validity of the theorem, as it ensures that the cross-ratio represents a well-defined transformation of L into a curvilinear triangle-asymptote of T.

Furthermore, the use of holographic topology and the AdS/CFT correspondence provides a powerful tool for understanding the transformation in higher-dimensional spaces. The AdS/CFT correspondence is a well-established principle in theoretical physics and has been extensively studied and validated.

Therefore, the theorem and its proof are mathematically validated by their adherence to the axioms of projective geometry, their consistency with established mathematical principles, and their use of the well-established AdS/CFT correspondence.

Q.E.D.

Section D

The Triangular Asymptote Theorem: A non-rectilinear triangle-asymptote L can be transformed into a curvilinear triangle-asymptote of T by supercurviformaticization as affected by infinity, where the transformation can be represented by the cross-ratio of [T], [L], [H], and [I].

Proof and validation of the theorem have been provided using projective geometry, holographic topology, and the AdS/CFT correspondence. The cross-ratio of four points is used to represent the supercurviformaticization of L as affected by infinity. The theorem and its proof adhere to the axioms of projective geometry, are consistent with established mathematical principles, and are validated by the use of the AdS/CFT correspondence. Q.E.D."