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Prove two adjacent numbers are equal.
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| //Prove 4 == 5 | |
| def lhs = 4 | |
| def rhs = 5 | |
| assert -20 == -20 | |
| assert 16 - 36 == 25 - 45 | |
| assert lhs ** 2 - 36 == rhs ** 2 - 45 | |
| assert lhs ** 2 - 2 * lhs * ( 9 / 2 ) == rhs ** 2 - 2 * rhs *( 9 / 2 ) | |
| assert lhs ** 2 - 2 * lhs * ( 9 / 2 ) + ( 9 / 2 ) ** 2 == rhs ** 2 - 2 * rhs * ( 9 / 2 ) + ( 9 / 2 ) ** 2 | |
| assert ( lhs - ( 9 / 2 ) ) ** 2 == ( rhs - ( 9 / 2 ) ) ** 2 //[(a-b)**2 == a**2 + b**2 - 2*a*b] | |
| assert Math.sqrt( ( lhs - ( 9 / 2 ) ) ** 2 ) == Math.sqrt( ( rhs - ( 9 / 2 ) ) ** 2 ) | |
| assert Math.abs( lhs - ( 9 / 2 ) ) == Math.abs( rhs - ( 9 / 2 ) ) | |
| //Caveat | |
| assert lhs - 9 / 2 != rhs - 9 / 2 | |
| //Hence | |
| assert lhs != rhs |
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