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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.modular import redundant_mod_elimination
In [2]:
# check that the built expression is the same as the stored expression
assert redundant_mod_elimination.expr == stored_expr
assert redundant_mod_elimination.expr._style_id == stored_expr._style_id
print("Passed sanity check: redundant_mod_elimination matches stored_expr")
Passed sanity check: redundant_mod_elimination 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{R}, b \in \mathbb{R}^+}~\left(\left(\left(a ~\textup{mod}~ b\right) ~\textup{mod}~ b\right) = \left(a ~\textup{mod}~ b\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: 22
body: 4
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operands: 8
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple11, 18
9Literal
10ExprTuple12, 13
11Operationoperator: 21
operands: 14
12Operationoperator: 16
operands: 15
13Operationoperator: 16
operands: 17
14ExprTuple18, 24
15ExprTuple23, 19
16Literal
17ExprTuple24, 20
18Operationoperator: 21
operands: 22
19Literal
20Literal
21Literal
22ExprTuple23, 24
23Variable
24Variable