Definition:Pool of Assumptions
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The pool of assumptions, for a formula deduced in a particular proof by natural deduction, is the collection of all the assumptions upon which the formula depends.
These consist of premises and possibly some intermediate assumptions.
The assumptions in this pool are called, naturally enough, the pooled assumptions.
The pooled assumptions at the end of a proof (its conclusion) are thus seen to be the premises.
- 1965: E.J. Lemmon: Beginning Logic ... (previous) ... (next): Chapter $1$: The Propositional Calculus $1$: $2$ Conditionals and Negation