PSPEC_ALL : (thm -> thm)

- STRUCTURE
- LIBRARY
- pair
- SYNOPSIS
- Specializes the conclusion of a theorem with its own quantified pairs.
- DESCRIPTION
- When applied to a theorem A |- !p1...pn. t, the inference rule PSPEC_ALL returns the theorem A |- t[p1'/p1]...[pn'/pn] where the pi' are distinct variants of the corresponding pi, chosen to avoid clashes with any variables free in the assumption list and with the names of constants. Normally pi' is just pi, in which case PSPEC_ALL simply removes all universal quantifiers.
A |- !p1...pn. t --------------------------- PSPEC_ALL A |- t[p1'/x1]...[pn'/xn]

- FAILURE
- Never fails.
- SEEALSO

HOL Kananaskis-14