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Compact definition of ¬¬¬-elim
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Vrishab Srivatsa committed Nov 4, 2024
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Expand Up @@ -99,7 +99,7 @@ We cannot show that `¬ ¬ A` implies `A`, but we can show that
→ ¬ ¬ ¬ A
-------
→ ¬ A
¬¬¬-elim ¬¬¬x = λ x → ¬¬¬x (¬¬-intro x)
¬¬¬-elim ¬¬¬x x = ¬¬¬x (¬¬-intro x)
```
Let `¬¬¬x` be evidence of `¬ ¬ ¬ A`. We will show that assuming
`A` leads to a contradiction, and hence `¬ A` must hold.
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