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In [1]:
import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.numbers.exponentiation import complex_polar_num_neq_mag
In [2]:
# check that the built expression is the same as the stored expression
assert complex_polar_num_neq_mag.expr == stored_expr
assert complex_polar_num_neq_mag.expr._style_id == stored_expr._style_id
print("Passed sanity check: complex_polar_num_neq_mag matches stored_expr")
Passed sanity check: complex_polar_num_neq_mag matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{r \in \mathbb{R}^+, \theta \in \mathbb{R}~|~\frac{\theta}{2 \cdot \pi} \notin \mathbb{Z}}~\left(\left(r \cdot \mathsf{e}^{\mathsf{i} \cdot \theta}\right) \neq r\right)
In [4]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
with_wrappingIf 'True', wrap the Expression after the parametersNoneNone/False('with_wrapping',)
condition_wrappingWrap 'before' or 'after' the condition (or None).NoneNone/False('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_paramsIf 'True', wraps every two parameters AND wraps the Expression after the parametersNoneNone/False('with_params',)
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenter('with_justification',)
In [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Lambdaparameters: 4
body: 5
4ExprTuple23, 39
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple12, 23
10Literal
11ExprTuple13, 14, 15
12Operationoperator: 36
operands: 16
13Operationoperator: 18
operands: 17
14Operationoperator: 18
operands: 19
15Operationoperator: 20
operands: 21
16ExprTuple23, 22
17ExprTuple23, 24
18Literal
19ExprTuple39, 25
20Literal
21ExprTuple26, 27
22Operationoperator: 28
operands: 29
23Variable
24Literal
25Literal
26Operationoperator: 30
operands: 31
27Literal
28Literal
29ExprTuple32, 33
30Literal
31ExprTuple39, 34
32Literal
33Operationoperator: 36
operands: 35
34Operationoperator: 36
operands: 37
35ExprTuple38, 39
36Literal
37ExprTuple40, 41
38Literal
39Variable
40Literal
41Literal