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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 real_power_of_quotient
In [2]:
# check that the built expression is the same as the stored expression
assert real_power_of_quotient.expr == stored_expr
assert real_power_of_quotient.expr._style_id == stored_expr._style_id
print("Passed sanity check: real_power_of_quotient matches stored_expr")
Passed sanity check: real_power_of_quotient matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{a \in \mathbb{C}, b \in \mathbb{C}, c \in \mathbb{R}~|~a \neq 0, b \neq 0}~\left(\left(\frac{a}{b}\right)^{c} = \frac{a^{c}}{b^{c}}\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
4ExprTuple39, 40, 41
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple12, 13
10Literal
11ExprTuple14, 15, 16, 17, 18
12Operationoperator: 37
operands: 19
13Operationoperator: 34
operands: 20
14Operationoperator: 23
operands: 21
15Operationoperator: 23
operands: 22
16Operationoperator: 23
operands: 24
17Operationoperator: 26
operands: 25
18Operationoperator: 26
operands: 27
19ExprTuple28, 41
20ExprTuple29, 30
21ExprTuple39, 31
22ExprTuple40, 31
23Literal
24ExprTuple41, 32
25ExprTuple39, 33
26Literal
27ExprTuple40, 33
28Operationoperator: 34
operands: 35
29Operationoperator: 37
operands: 36
30Operationoperator: 37
operands: 38
31Literal
32Literal
33Literal
34Literal
35ExprTuple39, 40
36ExprTuple39, 41
37Literal
38ExprTuple40, 41
39Variable
40Variable
41Variable