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 Equals, InSet
from proveit.numbers import Integer, frac, subtract
from proveit.physics.quantum.QPE import _delta_b, _phase, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(b, Conditional(Equals(_delta_b, subtract(_phase, frac(b, _two_pow_t))), InSet(b, Integer))))

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} = \left(\varphi - \frac{b}{2^{t}}\right) \textrm{ if } b \in \mathbb{Z}\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: 23 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	23, 11
9	Operation	operator: 12 operand: 23
10	Operation	operator: 14 operands: 15
11	Literal
12	Literal
13	ExprTuple	23
14	Literal
15	ExprTuple	16, 17
16	Literal
17	Operation	operator: 18 operand: 20
18	Literal
19	ExprTuple	20
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Variable
24	Operation	operator: 25 operands: 26
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Literal