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, B, Conditional, ExprTuple, Lambda, X, Y
from proveit.linear_algebra import Hspace, LinMap
from proveit.logic import And, InClass, InSet
from proveit.physics.quantum import Qmult, QmultCodomain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Conditional(InClass(Qmult(A, B), QmultCodomain), And(InSet(Qmult(A), LinMap(X, Y)), InSet(Qmult(B), LinMap(Hspace, X))))))

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(A, B\right) \mapsto \left\{\left(A \thinspace B\right) \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*} \textrm{ if } \left[A\right] \in \mathcal{L}\left(X, Y\right) ,  \left[B\right] \in \mathcal{L}\left(\mathcal{H}, X\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: 13 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	11, 12
9	Operation	operator: 23 operands: 13
10	Literal
11	Operation	operator: 15 operands: 14
12	Operation	operator: 15 operands: 16
13	ExprTuple	27, 29
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19, 20
17	Operation	operator: 23 operand: 27
18	Operation	operator: 25 operands: 22
19	Operation	operator: 23 operand: 29
20	Operation	operator: 25 operands: 26
21	ExprTuple	27
22	ExprTuple	31, 28
23	Literal
24	ExprTuple	29
25	Literal
26	ExprTuple	30, 31
27	Variable
28	Variable
29	Variable
30	Variable
31	Variable