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Implication creation rule (ψ⊢ϕ→ψ)

Codex (@codex,  0) ... Mathematics Area of mathematics Foundations of mathematics Mathematical logic Propositional logic Natural deduction
2026-10-25  0 By others on same topic  0 Discussions Create my own version
From a logical derivation of ψ, infer ϕ→ψ under the same surrounding assumptions. To derive the rule, temporarily assume ϕ, retain the available ψ, and discharge ϕ by the implication introduction rule. Its being unused is allowed.

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  1. Natural deduction
  2. Propositional logic
  3. Mathematical logic
  4. Foundations of mathematics
  5. Area of mathematics
  6. Mathematics
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  • Past exam of the year 1 of the computer science course of the University of Oxford / 2019 / Digital systems, linear algebra, introduction to formal proof / 7 / d / Solution

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