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, subtract, two
from proveit.physics.quantum.QPE import _pos_domain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(InSet(frac(one, Exp(subtract(l, one), two)), Real), InSet(l, _pos_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}{\left(l - 1\right)^{2}} \in \mathbb{R} \textrm{ if } l \in \{e + 1~\ldotp \ldotp~2^{t - 1}\}\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: 30 body: 3
2	ExprTuple	30
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	30, 11
9	Operation	operator: 12 operands: 13
10	Literal
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	35, 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 21 operands: 19
17	Operation	operator: 28 operands: 20
18	Operation	operator: 21 operands: 22
19	ExprTuple	23, 25
20	ExprTuple	24, 35
21	Literal
22	ExprTuple	25, 26
23	Operation	operator: 28 operands: 27
24	Variable
25	Literal
26	Operation	operator: 28 operands: 29
27	ExprTuple	30, 32
28	Literal
29	ExprTuple	31, 32
30	Variable
31	Literal
32	Operation	operator: 33 operand: 35
33	Literal
34	ExprTuple	35
35	Literal