mathlib documentation

tactic.obviously

The obviously tactic

This file sets up a tactic called obviously, which is subsequently used throughout the category theory library as an auto_param to discharge easy proof obligations when building structures.

In this file, we set up obviously as a "replacer" tactic, whose implementation can be modified after the fact. Then we set the default implementation to be tidy.

Implementation note

At present we don't actually take advantage of the replacer mechanism in mathlib. In the past it had been used by an external category theory library which wanted to incorporate rewrite_search as part of obviously.

meta def obviously  :

The obviously tactic is a "replaceable" tactic, which means that its meaning is defined by tactics that are defined later with the @[obviously] attribute. It is intended for use with auto_params for structure fields.

meta def obviously'  :

The default implementation of obviously discharges any goals which contain sorry in their type using sorry, and then calls tidy.