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Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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, r, theta
from proveit.numbers import Exp, Mult, Neg, e, i
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(r, Exp(e, Mult(Neg(theta), i))))
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(r \cdot \mathsf{e}^{\left(-\theta\right) \cdot \mathsf{i}}\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 9
operands: 2
2ExprTuple3, 4
3Variable
4Operationoperator: 5
operands: 6
5Literal
6ExprTuple7, 8
7Literal
8Operationoperator: 9
operands: 10
9Literal
10ExprTuple11, 12
11Operationoperator: 13
operand: 15
12Literal
13Literal
14ExprTuple15
15Variable