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Expression of type ExprTuple

from the theory of proveit.trigonometry

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, theta
from proveit.numbers import Add, Mult, Neg, frac, one, pi, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Neg(theta)
sub_expr2 = Mult(frac(one, two), pi)
expr = ExprTuple(Add(theta, Add(sub_expr1, sub_expr2)), Add(theta, sub_expr1, sub_expr2))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\theta + \left(-\theta + \left(\frac{1}{2} \cdot \pi\right)\right), \theta - \theta + \left(\frac{1}{2} \cdot \pi\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 6
operands: 3
2Operationoperator: 6
operands: 4
3ExprTuple14, 5
4ExprTuple14, 8, 9
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple8, 9
8Operationoperator: 10
operand: 14
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple14
12Literal
13ExprTuple15, 16
14Variable
15Operationoperator: 17
operands: 18
16Literal
17Literal
18ExprTuple19, 20
19Literal
20Literal