def test_basic(self):
natural = "Let $n$"
lean = "intros n A1"
context = Context()
context.current_goal = ForAllNatIneqThen(
"n", Inequality.from_natural(r"$n \leq N$"),
r"|b_n - l| < \epsilon$")
test_bijective(self, LetNInequality, natural, lean, context)
def test_fail(self):
context = Context()
natural = r"Let $\epsilon$"
lean = "intros ε A1"
context.current_goal = ForAll(
"n", Inequality(Identifier("a"), InequalityType.GT,
Identifier("b")))
self.assertIsNone(LetGoalLimit.from_natural(natural, context))
self.assertIsNone(LetGoalLimit.from_lean(lean, context))
def test_basic(self):
context = Context()
RealValuedSequences.from_natural("$a_n, b_n, c_n$ are real-valued",
context)
RealDeclaration.from_natural(r"$l \in \mathbb{R}$", context)
SequenceLimit.from_natural(r"$a_n \rightarrow l$", context)
context.current_goal = SequenceLimit.from_natural(
r"$b_n \rightarrow l$", context)
LetGoalLimit.from_natural(r"Let $\epsilon$", context)
natural = r"Let's choose $N_a$ such that H1 uses $\epsilon$"
lean = r"cases H1 ε A1 with N_a A2"
test_bijective(self, ChooseNEpsilonLimit, natural, lean, context)
def test_basic(self):
context = Context()
natural = r"Let $\epsilon$"
lean = "intros ε A1"
context.current_goal = SequenceLimit("b", "l")
test_bijective(self, LetGoalLimit, natural, lean, context)
