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With the introduction of the simprocs
reduceLE
,reduceMod
,reduceDiv
etc. in Lean v4.6.0, nowsimp
can fully normalize typical
Nat.digits
calls that have concrete arguments. The situation is still a bit delicatehowever, as we want to avoid invoking kernel reduction on
Nat.digits
, because theAcc
-based ("well founded")recursion in
digitsAux
can get bogged down.This PR introduces a new tactic
simp_digits
tactic that contains only the simp lemmas and simprocs neededto reduce
Nat.digits
. This allows proofs involvingNat.digits
to be cleanly factored into two steps:Nat.digits
viasimp_digits
,simp_arith
,decide
, orrfl
.