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, m, n
from proveit.core_expr_types import Q__b_1_to_j, b_1_to_j, f__b_1_to_j
from proveit.linear_algebra import MatrixSpace
from proveit.logic import InSet
from proveit.numbers import Complex

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([b_1_to_j], Conditional(InSet(f__b_1_to_j, MatrixSpace(field = Complex, rows = n, columns = m)), Q__b_1_to_j)))

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(\left(b_{1}, b_{2}, \ldots, b_{j}\right) \mapsto \left\{f\left(b_{1}, b_{2}, \ldots, b_{j}\right) \in \mathbb{C}^{n \times m} \textrm{ if } Q\left(b_{1}, b_{2}, \ldots, b_{j}\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	parameters: 11 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 11
5	Literal
6	ExprTuple	8, 9
7	Variable
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operands: 13
10	Variable
11	ExprTuple	14
12	Literal
13	NamedExprs	field: 15 rows: 16 columns: 17
14	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
15	Literal
16	Variable
17	Variable
18	Lambda	parameter: 24 body: 21
19	Literal
20	Variable
21	IndexedVar	variable: 22 index: 24
22	Variable
23	ExprTuple	24
24	Variable