de493d761d
This PR upstreams the definition of Rat from Batteries, for use in our planned interval arithmetic tactic. --------- Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
19 lines
495 B
Text
19 lines
495 B
Text
open Lean
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#eval (15 : Rat) / 10
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#eval (15 : Rat) / 10 + 2
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#eval (15 : Rat) / 10 - 2
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#eval (-2 : Rat).inv
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#eval (2 : Rat).inv == (1 : Rat) / 2
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#eval (-2 : Rat).inv == (-1 : Rat) / 2
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#eval (4 : Rat)/9 * (3 : Rat)/10
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#eval (4 : Rat)/9 * (-3 : Rat)/10
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#eval (1 : Rat) < (-1 : Rat)
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#eval (-1 : Rat) < (1 : Rat)
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#eval (-1 : Rat)/2 < (1 : Rat)
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#eval (-1 : Rat) < 0
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#eval (-1 : Rat)/2 < 0
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#eval 0 < (-1 : Rat)/2
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#eval (1 : Rat)/3 < (1 : Rat)/2
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#eval (1 : Rat)/2 < (1 : Rat)/3
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-- TODO: add more tests
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