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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 = frac(pi, two)
sub_expr2 = Add(Neg(theta), sub_expr1)
expr = ExprTuple(Add(Neg(sub_expr1), sub_expr2), Add(Neg(Mult(frac(one, two), pi)), 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(-\frac{\pi}{2} + \left(-\theta + \frac{\pi}{2}\right), -\left(\frac{1}{2} \cdot \pi\right) + \left(-\theta + \frac{\pi}{2}\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: 10
operands: 3
2Operationoperator: 10
operands: 4
3ExprTuple5, 7
4ExprTuple6, 7
5Operationoperator: 17
operand: 14
6Operationoperator: 17
operand: 12
7Operationoperator: 10
operands: 11
8ExprTuple14
9ExprTuple12
10Literal
11ExprTuple13, 14
12Operationoperator: 15
operands: 16
13Operationoperator: 17
operand: 21
14Operationoperator: 23
operands: 19
15Literal
16ExprTuple20, 22
17Literal
18ExprTuple21
19ExprTuple22, 26
20Operationoperator: 23
operands: 24
21Variable
22Literal
23Literal
24ExprTuple25, 26
25Literal
26Literal