lean2/tests/lean/run/calc.lean
Leonardo de Moura 5eaf04518b refactor(*): rename Bool to Prop
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-22 09:43:18 -07:00

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Text

import standard
using num
namespace foo
variable le : num → num → Prop
axiom le_trans {a b c : num} : le a b → le b c → le a c
calc_trans le_trans
infix `≤`:50 := le
end
namespace foo
theorem T {a b c d : num} : a ≤ b → b ≤ c → c ≤ d → a ≤ d
:= assume H1 H2 H3,
calc a ≤ b : H1
... ≤ c : H2
... ≤ d : H3
end