I thank you for your effort, but what Jesus did was open the Way that had been closed since Adam and Eve were placed outside the Garden in Eden. He did that with his sacrifice on the cross, but he overcame the world before that. He says that he overcame the world at the end of chapter 16 of the Book of John. He was not crucified until three chapters later [John 19]. When he went to the cross he had already overcome the world. It was not your world or mine nor was the world of men [planet Earth]. Jesus overcame his own world of temptation, the temptations of his own fleshly nature. We see that when he met with satan [Matt chapter 4] and again here:
"And he went a little farther, and fell on his face, and prayed, saying, O my Father, if it be possible, let this cup pass from me:
nevertheless not as I will, but as thou wilt." Matt 26:39 Twice more he prayed the same words to overcome this last temptation, the desire of his flesh to avoid the pain and suffering which was before him: his death on the cross. Again all of his temptations were overcome prior to his crucifixion. When he was taken before Pontius Pilate he had already overcome the world of his own temptations described here also by John:
"For all that is in the world, the lust of the flesh, and the lust of the eyes, and the pride of life, is not of the Father, but is of the world." I John 2:16
These tempting things when followed lead a man of flesh to sin. Jesus we know never followed them, in each case overcoming them so that when he went to the cross he had already overcome the world. Each of us has these same attractions within us and when we follow them we have, all of us, been led to sin... and will be again until and if we have overcome them [overcome our individual little worlds]. Jesus died on the cross to reopen the gate leading to the Tree of Life, but we must walk the same pathway he walked. Until we overcome those temptations finally and completely by the means provided by Jesus and the Holy Spirit, we will not be allowed entrance so as to partake of the fruit of the Tree of Life.
"He that hath an ear, let him hear what the Spirit saith unto the churches; To him that overcometh will I give to eat of the tree of life, which is in the midst of the paradise of God." Rev 2:7