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, m
from proveit.logic import Equals, InSet
from proveit.physics.quantum import NumBra, Qmult
from proveit.physics.quantum.QPE import _Psi_ket, _alpha_m, _m_domain, _t

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(m, Conditional(Equals(_alpha_m, Qmult(NumBra(m, _t), _Psi_ket)), InSet(m, _m_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(m \mapsto \left\{\alpha_{m} = \left({_{t}}\langle m \rvert \thinspace \lvert \Psi \rangle\right) \textrm{ if } m \in \{0~\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: 26 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	26, 11
9	Operation	operator: 12 operand: 26
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Literal
13	ExprTuple	26
14	Literal
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	20, 21
18	Operation	operator: 22 operands: 23
19	Literal
20	Literal
21	Operation	operator: 24 operands: 25
22	Literal
23	ExprTuple	26, 34
24	Literal
25	ExprTuple	27, 28
26	Variable
27	Operation	operator: 29 operands: 30
28	Operation	operator: 31 operand: 35
29	Literal
30	ExprTuple	33, 34
31	Literal
32	ExprTuple	35
33	Literal
34	Literal
35	Literal