The invention provides a swine which is homozygous for a major histocompatibility complex haplotype and at least 60% homozygous at all other genetic loci and such animal is propagatable, and a cell or an organ derived therefrom. The invention also provides a method for providing a swine which is homozygous at swine leukocyte antigens (SLA) A, B, C, DR, and DQ, and in which at least 60% of all other genetic loci are homozygous, as well as a method of inducing tolerance in a recipient mammal of a first species to a graft from a donor mammal of a second species.