unabbreviation

Etymology

Definitions

1. 1

   The act of unabbreviating.

   • T4. (x)(y)[(x ≪ y) ⊃ ~(y ≪ x)]. Partial unabbreviation of T4 yields ‘(x)(y){(x < y)⋅(x ≠ y) ⊃ ~[(y < x) ⋅ (y ≠ x)]}’.
   • There are two ways one can handle unabbreviation in a system such as E. The first is to remove all defined constants at the outset by preprocessing the initial expression.
2. 2

   The result of unabbreviating.

   • All legitimate unabbreviations of a given abbreviation are congruent, and hence by Lemma 15b equivalent. Thus it is immaterial in considering questions of deducibility and provability which legitimate unabbreviation is used.
   • The first equivalence in *R7.8, *R7.9 is simply an unabbreviation of "α∘≯β".

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