Question 34986: First Projection of a Binary Relation

Original question and givens

The binary relation has source A={-2, -1, 0}, target B={2, 3, 4}, and R={(-2, 2), (-1, 3), (0, 4)}⊆A×B. List its actual domain Dom(R) in increasing order with each element once.

• G001 — The binary relation has source A={-2, -1, 0}, target B={2, 3, 4}, and R={(-2, 2), (-1, 3), (0, 4)}⊆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, [-2, -1, 0]]

derived = [[-2, -1, 0]]

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

derived = [[2, 3, 4]]

source roles = [0, [-2, 2]]

derived = [[-2, 2]]

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

derived = [[-1, 3]]

source roles = [2, [0, 4]]

derived = [[0, 4]]

source roles = [[-2, -1, 0], [2, 3, 4], [[-2, 2], [-1, 3], [0, 4]]]

derived = [Yes]

source roles = [[-2, -1, 0], [2, 3, 4], [[-2, 2], [-1, 3], [0, 4]]]

derived = [[-2, -1, 0], {-2, -1, 0}]

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

{-2, -1, 0}

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.