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, e, m
from proveit.logic import Not
from proveit.numbers import Less, LessEq, ModAbs, subtract
from proveit.physics.quantum.QPE import _b_floor, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = ModAbs(subtract(m, _b_floor), _two_pow_t)
expr = ExprTuple(Not(Less(e, sub_expr1)), LessEq(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(\lnot \left(e < \left|m - b_{\textit{f}}\right|_{\textup{mod}\thinspace 2^{t}}\right), \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 operand: 7
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	11, 10
7	Operation	operator: 8 operands: 9
8	Literal
9	ExprTuple	10, 11
10	Variable
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	14, 15
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	22, 23
20	Variable
21	Operation	operator: 24 operand: 26
22	Literal
23	Literal
24	Literal
25	ExprTuple	26
26	Literal