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Expression of type Exp

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 delta, k, theta
from proveit.numbers import Exp, Mult, e, i, pi, two
In [2]:
# build up the expression from sub-expressions
expr = Exp(Mult(Exp(e, Mult(two, pi, i, delta)), Exp(e, Mult(two, pi, i, theta))), k)
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 \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta}\right)^{k}
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 8
operands: 1
1ExprTuple2, 3
2Operationoperator: 14
operands: 4
3Variable
4ExprTuple5, 6
5Operationoperator: 8
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple11, 10
8Literal
9ExprTuple11, 12
10Operationoperator: 14
operands: 13
11Literal
12Operationoperator: 14
operands: 15
13ExprTuple17, 18, 19, 16
14Literal
15ExprTuple17, 18, 19, 20
16Variable
17Literal
18Literal
19Literal
20Variable