2014-08-25 02:58:48 +00:00
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import logic
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2014-10-02 00:51:17 +00:00
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open bool eq.ops tactic
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2014-07-27 04:56:35 +00:00
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2014-10-02 23:20:52 +00:00
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constants a b c : bool
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2014-07-27 04:56:35 +00:00
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axiom H1 : a = b
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axiom H2 : b = c
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check show a = c, from H1 ⬝ H2
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print "------------"
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2016-02-29 20:31:23 +00:00
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check have e1 : a = b, from H1,
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2014-10-23 01:11:09 +00:00
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have e2 : a = c, by apply eq.trans; apply e1; apply H2,
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2014-07-27 04:56:35 +00:00
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have e3 : c = a, from e2⁻¹,
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2016-02-29 20:31:23 +00:00
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have e4 : b = a, from e1⁻¹,
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2014-07-27 04:56:35 +00:00
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show b = c, from e1⁻¹ ⬝ e2
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