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, k, m
from proveit.numbers import Exp, Mult, e, frac, i, pi, subtract, two
from proveit.physics.quantum.QPE import _phase, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, Mult(two, pi, i, subtract(_phase, frac(m, _two_pow_t)))), k)

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(\varphi - \frac{m}{2^{t}}\right)}, k\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: 22 operands: 3
2	Variable
3	ExprTuple	4, 5
4	Literal
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	24, 8, 9, 10
8	Literal
9	Literal
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Literal
14	Operation	operator: 15 operand: 17
15	Literal
16	ExprTuple	17
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Variable
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Literal