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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, Mult, frac, pi, subtract, two, zero
from proveit.trigonometry import Sin
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(two, Sin(frac(Abs(subtract(zero, Mult(two, pi, 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(2, \sin{\frac{\left|0 - \left(2 \cdot \pi \cdot \theta\right)\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
0ExprTuple20, 1
1Operationoperator: 2
operand: 4
2Literal
3ExprTuple4
4Operationoperator: 5
operands: 6
5Literal
6ExprTuple7, 20
7Operationoperator: 8
operand: 10
8Literal
9ExprTuple10
10Operationoperator: 11
operands: 12
11Literal
12ExprTuple13, 14
13Literal
14Operationoperator: 15
operand: 17
15Literal
16ExprTuple17
17Operationoperator: 18
operands: 19
18Literal
19ExprTuple20, 21, 22
20Literal
21Literal
22Variable