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, Literal, e, m
from proveit.logic import InSet
from proveit.numbers import Exp, Interval, LessEq, ModAbs, one, subtract, two, zero

# build up the expression from sub-expressions
sub_expr1 = Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE"))
expr = ExprTuple(InSet(m, Interval(zero, subtract(sub_expr1, one))), LessEq(ModAbs(subtract(m, Literal("b_{f}", latex_format = r"b_{\textit{f}}", theory = "proveit.physics.quantum.QPE")), sub_expr1), e))

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(m \in \{0~\ldotp \ldotp~2^{t} - 1\}, \left|m - b_{\textit{f}}\right|_{\textup{mod}\thinspace 2^{t}} \leq e\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	22, 7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operands: 13
9	Variable
10	Literal
11	ExprTuple	14, 15
12	Literal
13	ExprTuple	16, 20
14	Literal
15	Operation	operator: 18 operands: 17
16	Operation	operator: 18 operands: 19
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	22, 23
20	Operation	operator: 24 operands: 25
21	Operation	operator: 27 operand: 31
22	Variable
23	Operation	operator: 27 operand: 32
24	Literal
25	ExprTuple	29, 30
26	ExprTuple	31
27	Literal
28	ExprTuple	32
29	Literal
30	Literal
31	Literal
32	Literal