The grind
tactic includes an auxiliary cases
tactic that is not intended for direct use by users.
This method implements it.
This tactic is automatically applied when introducing local declarations with a type tagged with [grind_cases]
.
It differs from the user-facing Lean cases
tactic in the following ways:
It avoids unnecessary
revert
andintro
operations.It does not introduce new local declarations for each minor premise. Instead, the
grind
tactic preprocessor is responsible for introducing them.It assumes that the major premise (i.e., the parameter
fvarId
) is the latest local declaration in the current goal.If the major premise type is an indexed family, auxiliary declarations and (heterogeneous) equalities are introduced. However, these equalities are not resolved using
unifyEqs
. Instead, thegrind
tactic employs union-find and congruence closure to process these auxiliary equalities. This approach avoids applying substitution to propositions that have already been internalized bygrind
.