lean4-htt/tests/lean/terminationFailure.lean.expected.out
Joachim Breitner 56733b953e
refactor: TerminationArgument → TerminationMeasure (#6727)
this PR aligns the terminology of the code with the one use in the
reference manual, as developed with and refined by @david-christiansen.
2025-01-23 10:41:38 +00:00

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terminationFailure.lean:7:2-7:3: error: fail to show termination for
f.g
f
with errors
failed to infer structural recursion:
Cannot use parameters #1 of f.g and x of f:
failed to eliminate recursive application
_root_.f x
Could not find a decreasing measure.
The basic measures relate at each recursive call as follows:
(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
Call from f.g to f at 9:9-12:
x1
x =
Call from f to f.g at 3:4-7:
x
x1 =
Please use `termination_by` to specify a decreasing measure.
f (x : Nat) : Nat
f.g : Nat → Nat
1
2
terminationFailure.lean:20:4-20:5: error: fail to show termination for
h
with errors
failed to infer structural recursion:
Cannot use parameter x:
failed to eliminate recursive application
h x
failed to prove termination, possible solutions:
- Use `have`-expressions to prove the remaining goals
- Use `termination_by` to specify a different well-founded relation
- Use `decreasing_by` to specify your own tactic for discharging this kind of goal
x : Nat
⊢ False
h (x : Nat) : Foo
Foo.a