Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, l
from proveit.numbers import Add, Exp, Mult, Neg, e, i, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
expr = ExprTuple(Exp(e, Mult(two, pi, i, Add(Mult(sub_expr1, l, Exp(two, Mult(sub_expr1, _t))), _delta_b_floor))), Exp(e, Mult(two, pi, i, Add(Neg(Mult(l, Exp(two, Neg(_t)))), _delta_b_floor))))

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(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\left(\left(-1\right) \cdot l \cdot 2^{\left(-1\right) \cdot t}\right) + \delta_{b_{\textit{f}}}\right)}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(-\left(l \cdot 2^{-t}\right) + \delta_{b_{\textit{f}}}\right)}\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: 34 operands: 3
2	Operation	operator: 34 operands: 4
3	ExprTuple	6, 5
4	ExprTuple	6, 7
5	Operation	operator: 32 operands: 8
6	Literal
7	Operation	operator: 32 operands: 9
8	ExprTuple	37, 11, 12, 10
9	ExprTuple	37, 11, 12, 13
10	Operation	operator: 15 operands: 14
11	Literal
12	Literal
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 19
15	Literal
16	ExprTuple	18, 19
17	Operation	operator: 32 operands: 20
18	Operation	operator: 40 operand: 25
19	Operation	operator: 22 operand: 26
20	ExprTuple	36, 30, 24
21	ExprTuple	25
22	Literal
23	ExprTuple	26
24	Operation	operator: 34 operands: 27
25	Operation	operator: 32 operands: 28
26	Literal
27	ExprTuple	37, 29
28	ExprTuple	30, 31
29	Operation	operator: 32 operands: 33
30	Variable
31	Operation	operator: 34 operands: 35
32	Literal
33	ExprTuple	36, 43
34	Literal
35	ExprTuple	37, 38
36	Operation	operator: 40 operand: 42
37	Literal
38	Operation	operator: 40 operand: 43
39	ExprTuple	42
40	Literal
41	ExprTuple	43
42	Literal
43	Literal