def test_inequality_sequence(self):
natural = r"$\left|a_n - b_n \right| \leq n$"
lean = r"|a n - b n| ≤ n"
context = Context()
context.add("a", "sequence")
context.add("b", "sequence")
test_bijective(self, Inequality, natural, lean, context)
def test_sequence(self):
natural = r"$\left|a_n - b_n \right|$"
lean = "|a n - b n|"
context = Context()
context.add("a", "sequence")
context.add("b", "sequence")
test_bijective(self, AbsoluteDiff, natural, lean, context)
def test_sequence(self):
nat = r"$a_n \leq b_n$"
lean = "a n ≤ b n"
context = Context()
context.add("a", "sequence")
context.add("b", "sequence")
test_bijective(self, Inequality, nat, lean, context)
def test_basic(self):
natural = r"$a_n \leq b_n$ by H1 with n"
lean = "have A1 : a n ≤ b n := H1 n"
context = Context()
context.add("a", "sequence")
context.add("b", "sequence")
test_bijective(self, BySentenceWith, natural, lean, context)
def test_absdiff(self):
natural = r"$\left|a_n - l \right| < \epsilon$ by H1 with H2"
lean = "have A1 : |a n - l| < ε := H1 H2"
context = Context()
context.add("a", "sequence")
test_bijective(self, BySentenceWith, natural, lean, context)