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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 left_factor_divisibility
In [2]:
# check that the built expression is the same as the stored expression
assert left_factor_divisibility.expr == stored_expr
assert left_factor_divisibility.expr._style_id == stored_expr._style_id
print("Passed sanity check: left_factor_divisibility matches stored_expr")
Passed sanity check: left_factor_divisibility matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{x \in \mathbb{C}, y \in \mathbb{Z}~|~x \neq 0}~\left(x \rvert \left(x \cdot y\right)\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: 16
body: 4
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operands: 8
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple25, 11
9Literal
10ExprTuple12, 13, 14
11Operationoperator: 15
operands: 16
12Operationoperator: 18
operands: 17
13Operationoperator: 18
operands: 19
14Operationoperator: 20
operands: 21
15Literal
16ExprTuple25, 23
17ExprTuple25, 22
18Literal
19ExprTuple23, 24
20Literal
21ExprTuple25, 26
22Literal
23Variable
24Literal
25Variable
26Literal