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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, Exp, Mult, e, i, pi, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Add(a, b), Mult(Exp(e, Mult(two, pi, i, k, delta)), Exp(e, Mult(two, pi, i, theta, k))), Exp(e, 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(a + b, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot k \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}\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, 3
1Operationoperator: 4
operands: 5
2Operationoperator: 21
operands: 6
3Operationoperator: 13
operands: 7
4Literal
5ExprTuple8, 19
6ExprTuple9, 10
7ExprTuple17, 11
8Variable
9Operationoperator: 13
operands: 12
10Operationoperator: 13
operands: 14
11Operationoperator: 21
operands: 15
12ExprTuple17, 16
13Literal
14ExprTuple17, 18
15ExprTuple24, 25, 26, 19
16Operationoperator: 21
operands: 20
17Literal
18Operationoperator: 21
operands: 22
19Variable
20ExprTuple24, 25, 26, 28, 23
21Literal
22ExprTuple24, 25, 26, 27, 28
23Variable
24Literal
25Literal
26Literal
27Variable
28Variable