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 A, Conditional, ExprTuple, Lambda, j, n
from proveit.core_expr_types import v_i, w_j
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(j, Conditional(Qmult(Bra(w_j), A, Ket(v_i), Ket(w_j), Bra(v_i)), InSet(j, 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(j \mapsto \left\{\langle w_{j} \rvert \thinspace A \thinspace \lvert v_{i} \rangle \thinspace \lvert w_{j} \rangle \thinspace \langle v_{i} \rvert \textrm{ if } j \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: 29 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, 11, 12, 13
7	Literal
8	ExprTuple	29, 14
9	Operation	operator: 17 operand: 21
10	Variable
11	Operation	operator: 15 operand: 22
12	Operation	operator: 15 operand: 21
13	Operation	operator: 17 operand: 22
14	Operation	operator: 19 operands: 20
15	Literal
16	ExprTuple	21
17	Literal
18	ExprTuple	22
19	Literal
20	ExprTuple	23, 24
21	IndexedVar	variable: 25 index: 29
22	IndexedVar	variable: 27 index: 30
23	Literal
24	Variable
25	Variable
26	ExprTuple	29
27	Variable
28	ExprTuple	30
29	Variable
30	Variable