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
from proveit.logic import Equals
from proveit.numbers import Mult, one
from proveit.physics.quantum.QPE import SubIndexed, _alpha, _ideal_phase_cond, _phase, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(_ideal_phase_cond, Equals(SubIndexed(_alpha, [Mult(_two_pow_t, _phase)]), one))

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(\left(2^{t} \cdot \varphi\right) \in \{0~\ldotp \ldotp~2^{t} - 1\}, \alpha_{2^{t} \cdot \varphi} = 1\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: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	15, 7
5	Literal
6	ExprTuple	8, 27
7	Operation	operator: 9 operands: 10
8	Operation	operator: 11 operand: 15
9	Literal
10	ExprTuple	13, 14
11	Literal
12	ExprTuple	15
13	Literal
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	21, 20
18	Literal
19	ExprTuple	21, 22
20	Operation	operator: 23 operand: 27
21	Operation	operator: 25 operands: 26
22	Literal
23	Literal
24	ExprTuple	27
25	Literal
26	ExprTuple	28, 29
27	Literal
28	Literal
29	Literal