E.1:5.1 - Three different questions about construction

• Mathematical product. A construction of R² × R³ needs its defined elements, product operations and applicable mathematical laws. With no proposed material realization, it needs no manufacturing actor or resource budget. Printing the construction on paper produces a carrier, not physical copies of all its elements.
• Proposed pump assembly. An engineer proposes assembling a named shaft and housing with a required clearance of 0.05–0.10 mm. The feasibility claim cites the manufacturing/assembly method, available equipment and materials, and the tolerance calculation supporting the stated clearance under those conditions. If the equipment capability or tolerances are unknown, return that missing basis before claiming feasibility for the decision. A valid drawing alone is insufficient.
• Manufactured pump. Claiming that pump P17 was produced additionally needs the actual assembly Work and change, and the independently applicable inception/completion facts. In an illustrative trace, a measured 0.07 mm clearance can support that one completion criterion; it supplies neither the whole production account nor an untested performance claim. A.12, A.15.1 and A.15.PROD govern those occurrence claims, while any actual composition retains its own composition rules.