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
from proveit.logic import InSet, Set
from proveit.numbers import IntervalOC, Neg, frac, one, two
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b

# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
expr = ExprTuple(Lambda(b, Conditional(InSet(_delta_b, IntervalOC(Neg(sub_expr1), sub_expr1)), InSet(b, Set(_b_floor, _b_round)))))

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(b \mapsto \left\{\delta_{b} \in \left(-\frac{1}{2},\frac{1}{2}\right] \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\}\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: 17 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	17, 10
8	Operation	operator: 11 operand: 17
9	Operation	operator: 13 operands: 14
10	Operation	operator: 15 operands: 16
11	Literal
12	ExprTuple	17
13	Literal
14	ExprTuple	18, 23
15	Literal
16	ExprTuple	19, 20
17	Variable
18	Operation	operator: 21 operand: 23
19	Literal
20	Literal
21	Literal
22	ExprTuple	23
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Literal
27	Literal