In June 1874, Brigham teaches that Jesus died to pay the debt of Adam and Eve and redeemed "the children of men from the fall."
Brigham Young, June 29, 1874, in The Collected Discourses of Brigham Young, ed. Richard S. Van Wagoner, 5 vols. (Salt Lake City: The Smith-Pettit Foundation, 2009), 5:1117, 1119-20 (kindle ed.)
I should like to keep as quiet as possible, I have a few words to say to them concerning the inheritances of the Saints. I will talk to them concerning the inheritances of the Saints. I will talk to those who are believers in the Old and New Testaments, as this book which lies before me is called—the Bible, and in the mission of the Savior. I will ask the Latter-day Saints if they believe that the man Christ Jesus, who was crucified at Jerusalem, over eighteen hundred years ago, was the Savior of the world, and that he paid the debt by our first parents, and redeemed the children of men from the fall? Of course, they will answer in the affirmative.
. . .
When shall we receive our inheritances so that we can say they are our own? When the Savior has completed the work, when the faithful Saints have preached the Gospel to the last of the spirits who have lived here and who are designed to come to this; when the thousand years of rest shall come and thousands and thousands of Temples shall be built, and the servants and handmaids of the Lord shall have entered therein and officiated for themselves, and for their dead friends back to the days of Adam; when the last of the spirits in prison who will receive the Gospel has received it; when the Savior comes and receives his ready bride, and all who can be are saved in the various kingdoms of God—celestial, terrestrial and telestial, according to their several capacities and opportunities; when sin and iniquity are driven from the earth, and the spirits that now float in this atmosphere are driven from the earth, and the spirits that now float in this atmosphere are driven into the place prepared for them; and when the earth is sanctified from the effects of the fall, and baptized, cleansed, and purified by fire, and returns to its paradisiacal state, and has become like a sea of glass, a urim and thummim; when all this is done, and the Savior has presented the earth to his Father, and it is placed in the cluster of the celestial kingdom, and the Son and all his faithful brethren and sisters have received the welcome plaudit—"Enter ye into the joy of your Lord," and the Savior is crowned, then and not till then, will the Saints receive their everlasting inheritances. I want you to understand this. We seem to have something now, but how long shall we keep it?