Expression of type ExprTuple

from the theory of proveit.physics.quantum.algebra

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, i, n
from proveit.core_expr_types import x_i
from proveit.logic import InSet
from proveit.numbers import Interval, one
from proveit.physics.quantum import Bra, Ket, Qmult

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(Qmult(Ket(x_i), Bra(x_i)), InSet(i, Interval(one, n)))))

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(i \mapsto \left\{\lvert x_{i} \rangle \thinspace \langle x_{i} \rvert \textrm{ if } i \in \{1~\ldotp \ldotp~n\}\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: 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	22, 11
9	Operation	operator: 12 operand: 17
10	Operation	operator: 13 operand: 17
11	Operation	operator: 15 operands: 16
12	Literal
13	Literal
14	ExprTuple	17
15	Literal
16	ExprTuple	18, 19
17	IndexedVar	variable: 20 index: 22
18	Literal
19	Variable
20	Variable
21	ExprTuple	22
22	Variable