Question 34980: First Projection of a Binary Relation

Original question and givens

The binary relation has source A={-8, -7, -6}, target B={-4, -3, -2}, and R={(-8, -4), (-7, -3), (-6, -2)}⊆A×B. List its actual domain Dom(R) in increasing order with each element once.

• G001 — The binary relation has source A={-8, -7, -6}, target B={-4, -3, -2}, and R={(-8, -4), (-7, -3), (-6, -2)}⊆A×B. List its actual domain Dom(R) in increasing order with each element once.

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-relation

Step-by-step derivation

source roles = [qf-relation-domain-projection, [A, B, R, operation]]

derived = [domain_projection, no-invented-domain]

source roles = [relation ORIGINAL source A, [-8, -7, -6]]

derived = [[-8, -7, -6]]

source roles = [relation ORIGINAL target B, [-4, -3, -2]]

derived = [[-4, -3, -2]]

source roles = [0, [-8, -4]]

derived = [[-8, -4]]

source roles = [1, [-7, -3]]

derived = [[-7, -3]]

source roles = [2, [-6, -2]]

derived = [[-6, -2]]

source roles = [[-8, -7, -6], [-4, -3, -2], [[-8, -4], [-7, -3], [-6, -2]]]

derived = [Yes]

source roles = [[-8, -7, -6], [-4, -3, -2], [[-8, -4], [-7, -3], [-6, -2]]]

derived = [[-8, -7, -6], {-8, -7, -6}]

Reverse checks

• S008 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S007 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S006 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S005 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S004 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S003 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S002 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.
• S001 · premise_and_result_audit — Reverse-check THIS question’s ORIGINAL givens,domain and step premises.Preserve originals/English/MKOs/ASTs/status;do not reverse a one-way implication or call finite checks independent review or general formal proof.

Result

{-8, -7, -6}

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.