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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 Abs, Add, Mult, frac, pi, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(frac(Abs(subtract(Add(Mult(two, pi, theta), pi), pi)), two), frac(Mult(two, pi, Abs(theta)), two))
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(\frac{\left|\left(\left(2 \cdot \pi \cdot \theta\right) + \pi\right) - \pi\right|}{2}, \frac{2 \cdot \pi \cdot \left|\theta\right|}{2}\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 24
4Literal
5ExprTuple7, 24
6Operationoperator: 13
operand: 10
7Operationoperator: 22
operands: 9
8ExprTuple10
9ExprTuple24, 25, 11
10Operationoperator: 17
operands: 12
11Operationoperator: 13
operand: 26
12ExprTuple15, 16
13Literal
14ExprTuple26
15Operationoperator: 17
operands: 18
16Operationoperator: 19
operand: 25
17Literal
18ExprTuple21, 25
19Literal
20ExprTuple25
21Operationoperator: 22
operands: 23
22Literal
23ExprTuple24, 25, 26
24Literal
25Literal
26Variable