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, Mult, 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(Mult(_two_pow_t, _delta_b), l), 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\{\left(2^{t} \cdot \delta_{b}\right) \neq l \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	34, 24
3	Conditional	value: 4 condition: 5
4	Operation	operator: 18 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 24
7	Literal
8	ExprTuple	10, 11, 12
9	Operation	operator: 13 operands: 14
10	Operation	operator: 16 operands: 15
11	Operation	operator: 16 operands: 17
12	Operation	operator: 18 operands: 19
13	Literal
14	ExprTuple	20, 21
15	ExprTuple	34, 22
16	Literal
17	ExprTuple	24, 23
18	Literal
19	ExprTuple	24, 25
20	Operation	operator: 26 operands: 27
21	Operation	operator: 28 operand: 34
22	Operation	operator: 30 operands: 31
23	Literal
24	Variable
25	Literal
26	Literal
27	ExprTuple	32, 33
28	Literal
29	ExprTuple	34
30	Literal
31	ExprTuple	35, 36
32	Literal
33	Literal
34	Variable
35	Literal
36	Literal