lean2/tests/lean/show1.lean
2014-08-20 18:04:31 -07:00

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Text

import standard
using bool eq_ops tactic
variables a b c : bool
axiom H1 : a = b
axiom H2 : b = c
check show a = c, from H1 ⬝ H2
print "------------"
check have e1 [fact] : a = b, from H1,
have e2 : a = c, by apply trans; apply e1; apply H2,
have e3 : c = a, from e2⁻¹,
have e4 [fact] : b = a, from e1⁻¹,
show b = c, from e1⁻¹ ⬝ e2