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test(tests/lean): matrix multiplication example

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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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Leonardo de Moura 2014-01-19 16:29:32 -08:00
parent 999984e701
commit 19f3c281c3
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variable matrix : Nat → Nat → Type
variable mul {m n p : Nat} : matrix n m → matrix m p → matrix n p
infixl 70 * : mul
axiom mul_assoc {m n p o : Nat} (M : matrix n m) (N : matrix m p) (P : matrix p o) :
M * (N * P) = (M * N) * P
add_rewrite mul_assoc
-- Create an example
variable m1 : matrix 2 3
variable m2 : matrix 3 4
variable m3 : matrix 4 2
variable m4 : matrix 2 6
(*
local t = parse_lean("m1 * (m2 * (m3 * m4))")
print("before simp: " .. tostring(t))
print("after simp: " .. tostring(simplify(t)))
*)