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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.trigonometry import sine_linear_bound_nonpos
In [2]:
# check that the built expression is the same as the stored expression
assert sine_linear_bound_nonpos.expr == stored_expr
assert sine_linear_bound_nonpos.expr._style_id == stored_expr._style_id
print("Passed sanity check: sine_linear_bound_nonpos matches stored_expr")
Passed sanity check: sine_linear_bound_nonpos matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{\theta \in \mathbb{R}^{\le 0}~|~\left(-\theta\right) \leq \frac{\pi}{2}}~\left(\sin{\theta} \leq \frac{2 \cdot \theta}{\pi}\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
3Lambdaparameter: 30
body: 4
4Conditionalvalue: 5
condition: 6
5Operationoperator: 18
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple10, 11
8Literal
9ExprTuple12, 13
10Operationoperator: 14
operand: 30
11Operationoperator: 28
operands: 15
12Operationoperator: 16
operands: 17
13Operationoperator: 18
operands: 19
14Literal
15ExprTuple20, 31
16Literal
17ExprTuple30, 21
18Literal
19ExprTuple22, 23
20Operationoperator: 24
operands: 25
21Literal
22Operationoperator: 26
operand: 30
23Operationoperator: 28
operands: 29
24Literal
25ExprTuple32, 30
26Literal
27ExprTuple30
28Literal
29ExprTuple31, 32
30Variable
31Literal
32Literal