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Question 34484: Proposition Classification

On this page
  1. Original question and givens
  2. Definition and scope
  3. Step-by-step derivation
  4. Reverse checks
  5. Result
  6. This question review and source binding

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R0067-34484 · q-20260913-proposition-classification-0009

Original question and givens

In the introductory classical-logic context specified here, is “a+b=c.” a proposition? Classify it only; do not decide its truth or proof status.

  • G001 — In the introductory classical-logic context specified here, is “a+b=c.” a proposition? Classify it only; do not decide its truth or proof status.

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.

Step-by-step derivation

S001 · implies

Before

source roles = [qf-proposition-classification, [form, kind, text]]

After

derived = [BASE-no-required-operation, no-invented-domain]

Conditions: none

Check THIS bank’s keys/operation/domain:legacy table underscores,MOD50 local hyphens;permissive BASE data acquires no unknown-field restriction.Keep Number.isInteger and SAFE source guards distinct,while preserving ORIGINAL JSON number representations.

Step identifiers and dependencies

Rule: R67_SOURCE_specific_keys_operation_domain_and_numeric_bank · Uses: G001

S002 · implies

Before

source roles = [equation_three_free_variables, open_sentence]

After

derived = [open_sentence]

Conditions: none

Audit the DECLARED textual form as a closed assertion,open sentence with unspecified free variables,question or imperative.The kind metadata must match THIS recognized form;do not merely copy a flag or classify by factual truth.

Step identifiers and dependencies

Rule: Statement_RECOGNIZED_form_semantics_not_kind_flag_or_truth · Uses: G001, S001

S003 · implies

Before

source roles = [equation_three_free_variables]

After

derived = [No, open sentence]

Conditions: none

Unspecified FREE variables require assignment,substitution or quantification before evaluation in a fixed context.No does not deny that a suitable closure becomes a proposition or call every open sentence false.

Step identifiers and dependencies

Rule: Statement_FREE_variable_requires_assignment_or_quantification · Uses: G001, S002

Reverse checks

  • S003 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
  • S002 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
  • S001 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.

Result

No

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.

Source hashes and review receipts
  • input commit: 0f7be61e2c22317a4075561dc822c87d881a50db
  • original question SHA-256: e104d023473f20f3782d6f54cf58076f31209d2cf2a47c853459836198928219
  • candidate record SHA-256: 9327049125f62fa1f56b498fd95e93008d2c30472463c46beba334d1faeca06c
  • semantic review receipt SHA-256: c89efa383b67bb2cf25bcf16160b9f5f614bbe5e5e791f4d7f58234d17a3371c
  • question-first witness SHA-256: 12766d451c5375842b4fc2843ae94807ec55f15763a916558026912a13873d57
  • Lean: NOT_RUN · human review: NOT_PERFORMED
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