lean4-htt/tests/lean/decreasing_by.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

45 lines
2 KiB
Text

decreasing_by.lean:34:0-39:17: error: Could not find a decreasing measure.
The basic measures relate at each recursive call as follows:
(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
n m
1) 34:29-43 = ?
2) 34:46-62 ? _
Please use `termination_by` to specify a decreasing measure.
decreasing_by.lean:61:0-67:19: error: Could not find a decreasing measure.
The basic measures relate at each recursive call as follows:
(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
n m
1) 61:29-43 = ?
2) 61:46-62 ? _
Please use `termination_by` to specify a decreasing measure.
decreasing_by.lean:75:13-77:3: error: unexpected token 'end'; expected '{' or tactic
decreasing_by.lean:75:0-75:13: error: unsolved goals
n m : Nat
⊢ Prod.Lex (fun a₁ a₂ => a₁ < a₂) (fun a₁ a₂ => a₁ < a₂) (n, dec2 m) (n, m)
n m : Nat
⊢ Prod.Lex (fun a₁ a₂ => a₁ < a₂) (fun a₁ a₂ => a₁ < a₂) (dec1 n, 100) (n, m)
decreasing_by.lean:85:0-85:22: error: unsolved goals
case a
n m : Nat
⊢ Prod.Lex (fun a₁ a₂ => a₁ < a₂) (fun a₁ a₂ => a₁ < a₂) (n, dec2 m) (n, m)
n m : Nat
⊢ Prod.Lex (fun a₁ a₂ => a₁ < a₂) (fun a₁ a₂ => a₁ < a₂) (dec1 n, 100) (n, m)
decreasing_by.lean:93:0-94:22: error: Could not find a decreasing measure.
The basic measures relate at each recursive call as follows:
(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
n m
1) 93:29-43 = ?
2) 93:46-62 ? _
Please use `termination_by` to specify a decreasing measure.
decreasing_by.lean:104:0-106:17: error: unsolved goals
n m : Nat
⊢ Prod.Lex (fun a₁ a₂ => a₁ < a₂) (fun a₁ a₂ => a₁ < a₂) (dec1 n, 100) (n, m)
decreasing_by.lean:114:0-117:17: error: Could not find a decreasing measure.
The basic measures relate at each recursive call as follows:
(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
n m
1) 114:29-43 = ?
2) 114:46-62 ? _
Please use `termination_by` to specify a decreasing measure.