lean4-htt/tests/lean/run/cbv_nullary.lean
Wojciech Różowski 24380fc900
feat: unfold nullary constants in cbv (#12646)
This PR enables the `cbv` tactic to unfold nullary (non-function)
constant
definitions such as `def myNat : Nat := 42`, allowing ground term
evaluation
(e.g. `evalEq`, `evalLT`) to recognize their values as literals.

Previously, `handleConst` skipped all nullary constants. Now it performs
direct
delta reduction using `instantiateValueLevelParams` instead of going
through
the equation theorem machinery (`getUnfoldTheorem`), which would trigger
`realizeConst` and fail for constants (such as derived typeclass
instances)
where `enableRealizationsForConst` has not been called.

---------

Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
2026-02-23 11:46:57 +00:00

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Text

set_option cbv.warning false
/-! Tests for `cbv` evaluation of nullary (non-function) constants.
Nullary definitions like `def myNat : Nat := 42` should be unfolded by `cbv`
so that ground term evaluation (e.g. `evalEq`, `evalLT`) can recognize their
values as literals.
-/
def myNat : Nat := 42
-- Arithmetic: argument goes through pattern matching in Nat.add
example : myNat + 1 = 43 := by cbv
-- Direct equality
example : myNat = 42 := by cbv
-- Prop-level equality and comparisons
example : (myNat = myNat) = True := by cbv
example : (myNat = 42) = True := by cbv
example : (myNat < 100) = True := by cbv
example : (myNat ≤ 42) = True := by cbv
-- Bool-level equality
example : (myNat == 42) = true := by cbv
-- Condition involving a nullary constant
example : (if myNat = 42 then 1 else 0) = 1 := by cbv
-- String nullary constant
def myStr : String := "hello"
example : myStr.length = 5 := by cbv
example : (myStr = "hello") = True := by cbv
-- Custom inductive type
inductive Color where | red | green | blue
def myColor : Color := .red
def colorToNat : Color → Nat
| .red => 1
| .green => 2
| .blue => 3
example : colorToNat myColor = 1 := by cbv