Mercurial > hg > Members > kono > Proof > galois
diff nat.agda @ 91:482ef04890f8
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Sat, 29 Aug 2020 07:48:45 +0900 |
parents | 69ed81f8e212 |
children | 43731a549950 |
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--- a/nat.agda Fri Aug 28 22:20:39 2020 +0900 +++ b/nat.agda Sat Aug 29 07:48:45 2020 +0900 @@ -34,6 +34,10 @@ refl-≤s {zero} = z≤n refl-≤s {suc x} = s≤s (refl-≤s {x}) +a≤sa : {x : ℕ } → x ≤ suc x +a≤sa {zero} = z≤n +a≤sa {suc x} = s≤s (a≤sa {x}) + =→¬< : {x : ℕ } → ¬ ( x < x ) =→¬< {zero} () =→¬< {suc x} (s≤s lt) = =→¬< lt