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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.divisibility import common_exponent_introduction
In [2]:
# check that the built expression is the same as the stored expression
assert common_exponent_introduction.expr == stored_expr
assert common_exponent_introduction.expr._style_id == stored_expr._style_id
print("Passed sanity check: common_exponent_introduction matches stored_expr")
Passed sanity check: common_exponent_introduction matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{k \in \mathbb{Z}, a \in \mathbb{Z}, n \in \mathbb{N}^+~|~k \rvert a}~\left(k^{n} \rvert a^{n}\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
4ExprTuple29, 30, 27
5Conditionalvalue: 6
condition: 7
6Operationoperator: 24
operands: 8
7Operationoperator: 9
operands: 10
8ExprTuple11, 12
9Literal
10ExprTuple13, 14, 15, 16
11Operationoperator: 18
operands: 17
12Operationoperator: 18
operands: 19
13Operationoperator: 22
operands: 20
14Operationoperator: 22
operands: 21
15Operationoperator: 22
operands: 23
16Operationoperator: 24
operands: 25
17ExprTuple29, 27
18Literal
19ExprTuple30, 27
20ExprTuple29, 26
21ExprTuple30, 26
22Literal
23ExprTuple27, 28
24Literal
25ExprTuple29, 30
26Literal
27Variable
28Literal
29Variable
30Variable