Question 34992: First Projection of a Binary Relation

Original question and givens

The binary relation has source A={4, 5, 6}, target B={8, 9, 10}, and R={(4, 8), (5, 9), (6, 10)}⊆A×B. List its actual domain Dom(R) in increasing order with each element once.

• G001 — The binary relation has source A={4, 5, 6}, target B={8, 9, 10}, and R={(4, 8), (5, 9), (6, 10)}⊆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, [4, 5, 6]]

derived = [[4, 5, 6]]

source roles = [relation ORIGINAL target B, [8, 9, 10]]

derived = [[8, 9, 10]]

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

derived = [[4, 8]]

source roles = [1, [5, 9]]

derived = [[5, 9]]

source roles = [2, [6, 10]]

derived = [[6, 10]]

source roles = [[4, 5, 6], [8, 9, 10], [[4, 8], [5, 9], [6, 10]]]

derived = [Yes]

source roles = [[4, 5, 6], [8, 9, 10], [[4, 8], [5, 9], [6, 10]]]

derived = [[4, 5, 6], {4, 5, 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

{4, 5, 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.