"In microeconomics, management and international political economy, vertical integration, also referred to as vertical consolidation, is an arrangement in which the supply chain of a company is integrated and owned by that company." [emphasis mine]
"Horizontal integration is the process of a company increasing production of goods or services at the same level of the value chain, in the same industry. A company may do this via internal expansion or through mergers and acquisition" [emphasis mine]
Anything else you care to throw at the wall to see if it sticks, just go ahead and assume I disagree with you given how our interaction has gone so far.