Original Horizontality- This principle stated by Nicholas Steno says that the gravitational pull deposits the sediment layers horizontally.
Original Lateral Extension- It states that a rock keeps on extending laterally unless a structural change prevents it.
Cross- cutting Relationships- This relationship states that if one geologic feature cuts another feature then it is younger of the two.
Inclusion- The inclusions observed in the sedimentary rocks if are in a formation then it concludes that the foundation is younger than the inclusion.
Uniformity- It states that all the geological processes are executed in a similar manner and a same intensity can be found in the past and in the present. This uniformity in the geological processes is enough for all the changes in geology.
The first two principles conclude that Earth was in the continuous process of formation and it still is because the deposit of layers and their constant extension and movements are the reason.
The inclusion and cross cutting are related as they both states about the sediment rock formations and the how it decides the ages of rock through changes. Uniformity is the bond that controls all the principles.