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, b, l
from proveit.logic import And, InSet, NotEquals, Set
from proveit.numbers import Integer, frac, zero
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([b, l], Conditional(NotEquals(_delta_b, frac(l, _two_pow_t)), And(InSet(b, Set(_b_floor, _b_round)), InSet(l, Integer), NotEquals(l, zero)))))

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(b, l\right) \mapsto \left\{\delta_{b} \neq \frac{l}{2^{t}} \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\} ,  l \in \mathbb{Z} ,  l \neq 0\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	parameters: 2 body: 3
2	ExprTuple	24, 27
3	Conditional	value: 4 condition: 5
4	Operation	operator: 21 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12, 13
9	Operation	operator: 14 operand: 24
10	Operation	operator: 16 operands: 17
11	Operation	operator: 19 operands: 18
12	Operation	operator: 19 operands: 20
13	Operation	operator: 21 operands: 22
14	Literal
15	ExprTuple	24
16	Literal
17	ExprTuple	27, 23
18	ExprTuple	24, 25
19	Literal
20	ExprTuple	27, 26
21	Literal
22	ExprTuple	27, 28
23	Operation	operator: 29 operands: 30
24	Variable
25	Operation	operator: 31 operands: 32
26	Literal
27	Variable
28	Literal
29	Literal
30	ExprTuple	33, 34
31	Literal
32	ExprTuple	35, 36
33	Literal
34	Literal
35	Literal
36	Literal