logo

Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

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, a, b, delta, k, theta
from proveit.numbers import Add, Mult, e, i, pi, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(e, Add(Mult(two, pi, i, a), Mult(Add(Mult(two, pi, i, delta), Mult(two, pi, i, theta)), k), Mult(two, pi, i, b)))
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(\mathsf{e}, \left(2 \cdot \pi \cdot \mathsf{i} \cdot a\right) + \left(\left(\left(2 \cdot \pi \cdot \mathsf{i} \cdot \delta\right) + \left(2 \cdot \pi \cdot \mathsf{i} \cdot \theta\right)\right) \cdot k\right) + \left(2 \cdot \pi \cdot \mathsf{i} \cdot b\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
1Literal
2Operationoperator: 14
operands: 3
3ExprTuple4, 5, 6
4Operationoperator: 19
operands: 7
5Operationoperator: 19
operands: 8
6Operationoperator: 19
operands: 9
7ExprTuple22, 23, 24, 10
8ExprTuple11, 12
9ExprTuple22, 23, 24, 13
10Variable
11Operationoperator: 14
operands: 15
12Variable
13Variable
14Literal
15ExprTuple16, 17
16Operationoperator: 19
operands: 18
17Operationoperator: 19
operands: 20
18ExprTuple22, 23, 24, 21
19Literal
20ExprTuple22, 23, 24, 25
21Variable
22Literal
23Literal
24Literal
25Variable