Expression of type ExprTuple

from the theory of proveit.physics.quantum.QFT

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, k, l, n
from proveit.numbers import Exp, Mult, Neg, e, frac, i, one, pi, two

# build up the expression from sub-expressions
expr = ExprTuple(frac(one, Exp(two, frac(n, two))), Exp(e, frac(Neg(Mult(two, pi, i, k, l)), Exp(two, n))))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\frac{1}{2^{\frac{n}{2}}}, \mathsf{e}^{\frac{-\left(2 \cdot \pi \cdot \mathsf{i} \cdot k \cdot l\right)}{2^{n}}}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 14 operands: 3
2	Operation	operator: 18 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	7, 8
5	Literal
6	Operation	operator: 18 operands: 9
7	Literal
8	Operation	operator: 14 operands: 10
9	ExprTuple	24, 11
10	ExprTuple	12, 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 16 operand: 20
13	Operation	operator: 18 operands: 19
14	Literal
15	ExprTuple	21, 24
16	Literal
17	ExprTuple	20
18	Literal
19	ExprTuple	24, 21
20	Operation	operator: 22 operands: 23
21	Variable
22	Literal
23	ExprTuple	24, 25, 26, 27, 28
24	Literal
25	Literal
26	Literal
27	Variable
28	Variable