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Add zero_ne_succ
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nvchhawch authored Oct 19, 2023
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2 changes: 2 additions & 0 deletions Game/Levels/Implication/L09zero_ne_succ.lean
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Expand Up @@ -18,6 +18,8 @@ Here `False` is a generic false statement. This means that
you can `apply zero_ne_succ at h` if `h` is a proof of `0 = succ n`.
"

NewLemma MyNat.zero_ne_succ

Introduction "
As warm-up for `2 + 2 ≠ 5` let's prove `0 ≠ 1`. To do this we need to
introduce Peano's last axiom `zero_ne_succ n`, a proof that `0 ≠ succ n`.
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