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, l
from proveit.logic import InSet
from proveit.numbers import Exp, Real, frac, one, two
from proveit.physics.quantum.QPE import _neg_domain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(InSet(frac(one, Exp(l, two)), Real), InSet(l, _neg_domain))))

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(l \mapsto \left\{\frac{1}{l^{2}} \in \mathbb{R} \textrm{ if } l \in \{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 1\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: 22 body: 3
2	ExprTuple	22
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	22, 11
9	Operation	operator: 12 operands: 13
10	Literal
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	39, 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 29 operands: 19
17	Operation	operator: 33 operands: 20
18	Operation	operator: 37 operand: 24
19	ExprTuple	22, 31
20	ExprTuple	23, 39
21	ExprTuple	24
22	Variable
23	Operation	operator: 37 operand: 27
24	Operation	operator: 33 operands: 26
25	ExprTuple	27
26	ExprTuple	28, 39
27	Operation	operator: 29 operands: 30
28	Variable
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Operation	operator: 33 operands: 34
33	Literal
34	ExprTuple	35, 36
35	Literal
36	Operation	operator: 37 operand: 39
37	Literal
38	ExprTuple	39
39	Literal