rspec で be(false) と eq(false) の違い

rspec-boolean.txt

% cat spec/falsey_spec.rb
describe do
  it do
    expect(true).to be(false)
  end
  it do
    expect(true).to eq(false)
  end
end
% bundle exec rspec -v
2.99.0
% bundle exec rspec spec/falsey_spec.rb
FF

Failures:

  1)  should equal false
     Failure/Error: expect(true).to be(false)

       expected #<FalseClass:0> => false
            got #<TrueClass:20> => true

       Compared using equal?, which compares object identity,
       but expected and actual are not the same object. Use
       `expect(actual).to eq(expected)` if you don't care about
       object identity in this example.
     # ./spec/falsey_spec.rb:3:in `block (2 levels) in <top (required)>'

  2)  should eq false
     Failure/Error: expect(true).to eq(false)

       expected: false
            got: true

       (compared using ==)
     # ./spec/falsey_spec.rb:6:in `block (2 levels) in <top (required)>'

Finished in 0.00116 seconds
2 examples, 2 failures

Failed examples:

rspec ./spec/falsey_spec.rb:2 #  should equal false
rspec ./spec/falsey_spec.rb:5 #  should eq false
zsh: exit 1     bundle exec rspec spec/falsey_spec.rb
% rspec -v
3.0.1
% rspec spec/falsey_spec.rb
FF

Failures:

  1)  should equal false
     Failure/Error: expect(true).to be(false)

       expected false
            got true
     # ./spec/falsey_spec.rb:3:in `block (2 levels) in <top (required)>'

  2)  should eq false
     Failure/Error: expect(true).to eq(false)

       expected: false
            got: true

       (compared using ==)
     # ./spec/falsey_spec.rb:6:in `block (2 levels) in <top (required)>'

Finished in 0.00151 seconds (files took 0.12108 seconds to load)
2 examples, 2 failures

Failed examples:

rspec ./spec/falsey_spec.rb:2 #  should equal false
rspec ./spec/falsey_spec.rb:5 #  should eq false
zsh: exit 1