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, m, n
from proveit.core_expr_types import a_i, b_i, lambda_i
from proveit.linear_algebra import ScalarMult
from proveit.logic import InSet
from proveit.numbers import Interval, Min, one
from proveit.physics.quantum import Ket, Qmult

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(ScalarMult(lambda_i, Qmult(Ket(a_i), Ket(b_i))), InSet(i, Interval(one, Min(m, 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\{\lambda_{i} \cdot \left(\lvert a_{i} \rangle \thinspace \lvert b_{i} \rangle\right) \textrm{ if } i \in \{1~\ldotp \ldotp~{\rm Min}\left(m, n\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: 33 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	33, 11
9	IndexedVar	variable: 12 index: 33
10	Operation	operator: 13 operands: 14
11	Operation	operator: 15 operands: 16
12	Variable
13	Literal
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19, 20
17	Operation	operator: 22 operand: 26
18	Operation	operator: 22 operand: 27
19	Literal
20	Operation	operator: 24 operands: 25
21	ExprTuple	26
22	Literal
23	ExprTuple	27
24	Literal
25	ExprTuple	28, 29
26	IndexedVar	variable: 30 index: 33
27	IndexedVar	variable: 31 index: 33
28	Variable
29	Variable
30	Variable
31	Variable
32	ExprTuple	33
33	Variable