lean4-htt/tests/lean_before_refactoring/run/803.lean
Sebastian Ullrich fd2c42a8bf chore(library, tests): switch to new attribute declaration syntax
sed -Ei 's/^(\s*)((private |protected )?(noncomputable )?(abbreviation|definition|meta_definition|theorem|lemma|proposition|corollary)\s+\S+\s*)((\s*\[(\S+(\s+[0-9]+)*|priority.*)\])+)\s*/\1attribute \6\n\1\2/' library/**/*.lean tests/**/*.lean
sed -Ei 's/\s+$//' library/**/*.lean  # remove trailing whitespace
2016-08-12 15:36:12 -07:00

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import data.matrix
open algebra fin nat
namespace matrix
attribute [reducible]
definition vector (A : Type) (n : nat) := fin n → A
attribute [reducible] [coercion]
definition to_cvec {A : Type} {n : nat} (v : vector A n)
: matrix A n 1 := λ i o, v i
attribute [reducible] [coercion]
definition to_rvec {A : Type} {n : nat} (v : vector A n)
: matrix A 1 n := λ o i, v i
variables (A : Type) (n : nat)
variable [r : comm_ring A]
include r
variables (M : matrix A n n) (v : vector A n)
print "----------------"
check matrix.mul M v
check (λ f, f v) (matrix.mul M)
check (λ v, matrix.mul M v) v
end matrix