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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.division import mult_frac_cancel_denom_left
In [2]:
# check that the built expression is the same as the stored expression
assert mult_frac_cancel_denom_left.expr == stored_expr
assert mult_frac_cancel_denom_left.expr._style_id == stored_expr._style_id
print("Passed sanity check: mult_frac_cancel_denom_left matches stored_expr")
Passed sanity check: mult_frac_cancel_denom_left matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{a, d \in \mathbb{C}}~\left[\forall_{b, c, e \in \mathbb{C}^{\neq 0}}~\left(\left(\frac{a}{b \cdot c} \cdot \frac{c \cdot d}{e}\right) = \left(\frac{a}{b} \cdot \frac{d}{e}\right)\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: 7
operand: 2
1ExprTuple2
2Lambdaparameters: 3
body: 4
3ExprTuple47, 54
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operand: 10
6Operationoperator: 22
operands: 9
7Literal
8ExprTuple10
9ExprTuple11, 12
10Lambdaparameters: 13
body: 14
11Operationoperator: 33
operands: 15
12Operationoperator: 33
operands: 16
13ExprTuple52, 53, 48
14Conditionalvalue: 17
condition: 18
15ExprTuple47, 19
16ExprTuple54, 19
17Operationoperator: 20
operands: 21
18Operationoperator: 22
operands: 23
19Literal
20Literal
21ExprTuple24, 25
22Literal
23ExprTuple26, 27, 28
24Operationoperator: 50
operands: 29
25Operationoperator: 50
operands: 30
26Operationoperator: 33
operands: 31
27Operationoperator: 33
operands: 32
28Operationoperator: 33
operands: 34
29ExprTuple35, 36
30ExprTuple37, 38
31ExprTuple52, 39
32ExprTuple53, 39
33Literal
34ExprTuple48, 39
35Operationoperator: 43
operands: 40
36Operationoperator: 43
operands: 41
37Operationoperator: 43
operands: 42
38Operationoperator: 43
operands: 44
39Literal
40ExprTuple47, 45
41ExprTuple46, 48
42ExprTuple47, 52
43Literal
44ExprTuple54, 48
45Operationoperator: 50
operands: 49
46Operationoperator: 50
operands: 51
47Variable
48Variable
49ExprTuple52, 53
50Literal
51ExprTuple53, 54
52Variable
53Variable
54Variable