FUN_EQ_CONV : conv

- STRUCTURE
- SYNOPSIS
- Equates normal and extensional equality for two functions.
- DESCRIPTION
- The conversion FUN_EQ_CONV embodies the fact that two functions are equal precisely when they give the same results for all values to which they can be applied. When supplied with a term argument of the form f = g, where f and g are functions of type ty1->ty2, FUN_EQ_CONV returns the theorem:where x is a variable of type ty1 chosen by the conversion.
|- (f = g) = (!x. f x = g x)

- FAILURE
- FUN_EQ_CONV tm fails if tm is not an equation f = g, where f and g are functions.
- USES
- Used for proving equality of functions.
- SEEALSO

HOL Kananaskis-14