3 added 10 characters in body
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wellWell, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of the Six Paths,but but it doesn't statesstate that you must have both SenjuSenju's and UchihaUchiha's DNA. As you've explained the Itachi tale, those Uchihas were not Senju's,nor nor did they have DNA,so so Obito lied  (maybe he didn't know,since since he possessed SenjuSenju's DNA + Sharingan,so so he just thought),more more likely this one,than than a plotholeplot hole.

well, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of the Six Paths,but it doesn't states that you must have both Senju and Uchiha DNA. As you've explained the Itachi tale, those Uchihas were not Senju's,nor did they have DNA,so Obito lied(maybe he didn't know,since he possessed Senju DNA + Sharingan,so he just thought),more likely this one,than a plothole

Well, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of Six Paths, but it doesn't state that you must have both Senju's and Uchiha's DNA. As you've explained the Itachi tale, those Uchihas were not Senju's, nor did they have DNA, so Obito lied  (maybe he didn't know, since he possessed Senju's DNA + Sharingan, so he just thought), more likely this one than a plot hole.

2 added 2 characters in body
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well, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of the Six PathPaths,but it doesn't states that you must have both Senju and Uchiha DNA. As you've explained the Itachi tale, those Uchihas were not Senju's,nor did thethey have DNA,so Obito lied(maybe he didn't know,since he possessed Senju DNA + Sharingan,so he just thought),more likely this one,than a plothole

well, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of the Six Path,but it doesn't states that you must have both Senju and Uchiha DNA. As you've explained the Itachi tale, those Uchihas were not Senju's,nor did the have DNA,so Obito lied(maybe he didn't know,since he possessed Senju DNA + Sharingan,so he just thought),more likely this one,than a plothole

well, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of the Six Paths,but it doesn't states that you must have both Senju and Uchiha DNA. As you've explained the Itachi tale, those Uchihas were not Senju's,nor did they have DNA,so Obito lied(maybe he didn't know,since he possessed Senju DNA + Sharingan,so he just thought),more likely this one,than a plothole

1
source | link

well, we all know that:

Izanagi can be used only by those with the genetic traits of the Sage of the Six Paths. The Uchiha, descended from the Sage, are able to perform Izanagi with their Sharingan. In exchange for the brief control of reality that it allows them, the Sharingan with which Izanagi is cast becomes blind.

so by this, you have to be the descendant of the Sage Of the Six Path,but it doesn't states that you must have both Senju and Uchiha DNA. As you've explained the Itachi tale, those Uchihas were not Senju's,nor did the have DNA,so Obito lied(maybe he didn't know,since he possessed Senju DNA + Sharingan,so he just thought),more likely this one,than a plothole