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 Conditional, ExprTuple, Lambda, e, m
from proveit.logic import And, InSet, TRUE
from proveit.numbers import ModAbs, greater, subtract
from proveit.physics.quantum.QPE import _b_floor, _m_domain, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(m, Conditional(TRUE, And(InSet(m, _m_domain), greater(ModAbs(subtract(m, _b_floor), _two_pow_t), 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 \mapsto \left\{\top \textrm{ if } m \in \{0~\ldotp \ldotp~2^{t} - 1\} ,  \left|m - b_{\textit{f}}\right|_{\textup{mod}\thinspace 2^{t}} > e\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 29 body: 3
2	ExprTuple	29
3	Conditional	value: 4 condition: 5
4	Literal
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operands: 13
10	Literal
11	ExprTuple	29, 14
12	Literal
13	ExprTuple	15, 16
14	Operation	operator: 17 operands: 18
15	Variable
16	Operation	operator: 19 operands: 20
17	Literal
18	ExprTuple	21, 22
19	Literal
20	ExprTuple	23, 27
21	Literal
22	Operation	operator: 25 operands: 24
23	Operation	operator: 25 operands: 26
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	29, 30
27	Operation	operator: 31 operands: 32
28	Operation	operator: 34 operand: 38
29	Variable
30	Operation	operator: 34 operand: 39
31	Literal
32	ExprTuple	36, 37
33	ExprTuple	38
34	Literal
35	ExprTuple	39
36	Literal
37	Literal
38	Literal
39	Literal