lean2/tests/lean/simplifier21.lean

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/- Basic rewriting with eq and generic congruence, with no conditionals -/
namespace test_congr
constants a b c : nat
axiom H1 : a = b
axiom H2 : a = c
attribute H1 [simp]
attribute H2 [simp]
#simplify eq env 0 a -- c
attribute H1 [simp]
#simplify eq env 0 a -- b
attribute H1 [simp] [priority std.priority.default+1]
attribute H2 [simp]
#simplify eq env 0 a -- b
attribute H2 [simp] [priority std.priority.default+2]
attribute H1 [simp] [priority std.priority.default+1]
#simplify eq env 0 a -- c
end test_congr