English: “A lamb for a household” — this teaches that a person may bring and slaughter on behalf of his minor son and daughter and on behalf of his Canaanite manservant and maidservant, whether with their consent or without it; but not on behalf of his adult son and daughter, nor his Hebrew servants, nor his wife, except with their consent.
On the daf / in context: See the cited source for the full section.
Type of Learning
Derash on the verse (Pesachim 88a) — not a formal named middah of the 13.
What Is Learned
One may include minor children and Canaanite servants in the Pesach without their explicit consent; adults and a wife require consent.