more from David Bostock

### Single Idea 13616

#### [catalogued under 5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions]

Full Idea

Use of the Deduction Theorem greatly simplifies the search for proof (or more strictly, the task of showing that there is a proof).

Gist of Idea

The Deduction Theorem greatly simplifies the search for proof

Source

David Bostock (Intermediate Logic [1997], 5.3)

Book Reference

Bostock,David: 'Intermediate Logic' [OUP 1997], p.206

A Reaction

See 13615 for details of the Deduction Theorem. Bostock is referring to axiomatic proof, where it can be quite hard to decide which axioms are relevant. The Deduction Theorem enables the making of assumptions.

Related Idea

Idea 13615
'Conditonalised' inferences point to the Deduction Theorem: If Γ,φ|-ψ then Γ|-φ→ψ **[Bostock]**