logo
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 mod_abs_diff_reversal
In [2]:
# check that the built expression is the same as the stored expression
assert mod_abs_diff_reversal.expr == stored_expr
assert mod_abs_diff_reversal.expr._style_id == stored_expr._style_id
print("Passed sanity check: mod_abs_diff_reversal matches stored_expr")
Passed sanity check: mod_abs_diff_reversal 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}, N \in \mathbb{R}^+}~\left(\left|a - b\right|_{\textup{mod}\thinspace N} = \left|b - a\right|_{\textup{mod}\thinspace 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
4ExprTuple38, 37, 27
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple12, 13
10Literal
11ExprTuple14, 15, 16
12Operationoperator: 18
operands: 17
13Operationoperator: 18
operands: 19
14Operationoperator: 22
operands: 20
15Operationoperator: 22
operands: 21
16Operationoperator: 22
operands: 23
17ExprTuple24, 27
18Literal
19ExprTuple25, 27
20ExprTuple38, 26
21ExprTuple37, 26
22Literal
23ExprTuple27, 28
24Operationoperator: 30
operands: 29
25Operationoperator: 30
operands: 31
26Literal
27Variable
28Literal
29ExprTuple38, 32
30Literal
31ExprTuple37, 33
32Operationoperator: 35
operand: 37
33Operationoperator: 35
operand: 38
34ExprTuple37
35Literal
36ExprTuple38
37Variable
38Variable