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 Exp, Mult, e, i, pi, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, Mult(two, pi, i, a)), Exp(Mult(Exp(e, Mult(two, pi, i, 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(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot a}, \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta}\right)^{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: 19
operands: 4
2Operationoperator: 19
operands: 5
3Operationoperator: 19
operands: 6
4ExprTuple22, 7
5ExprTuple8, 9
6ExprTuple22, 10
7Operationoperator: 25
operands: 11
8Operationoperator: 25
operands: 12
9Variable
10Operationoperator: 25
operands: 13
11ExprTuple28, 29, 30, 14
12ExprTuple15, 16
13ExprTuple28, 29, 30, 17
14Variable
15Operationoperator: 19
operands: 18
16Operationoperator: 19
operands: 20
17Variable
18ExprTuple22, 21
19Literal
20ExprTuple22, 23
21Operationoperator: 25
operands: 24
22Literal
23Operationoperator: 25
operands: 26
24ExprTuple28, 29, 30, 27
25Literal
26ExprTuple28, 29, 30, 31
27Variable
28Literal
29Literal
30Literal
31Variable