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 ExprTuple, Lambda, X, x
from proveit.linear_algebra import HilbertSpaces, Hspace, LinMap
from proveit.logic import Equals, Exists, InClass, InSet, Or
from proveit.physics.quantum import QmultCodomain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Equals(InClass(x, QmultCodomain), Or(Exists(instance_param_or_params = [Hspace], instance_expr = InSet(x, Hspace), domain = HilbertSpaces), Exists(instance_param_or_params = [Hspace, X], instance_expr = InSet(x, LinMap(Hspace, X)), domain = HilbertSpaces)).with_wrapping_at(2))))

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(x \mapsto \left(\left(x \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}\right) = \left(\begin{array}{c} \left[\exists_{\mathcal{H} \underset{{\scriptscriptstyle c}}{\in} \textrm{HilbertSpaces}}~\left(x \in \mathcal{H}\right)\right] \lor  \\ \left[\exists_{\mathcal{H}, X \underset{{\scriptscriptstyle c}}{\in} \textrm{HilbertSpaces}}~\left(x \in \mathcal{L}\left(\mathcal{H}, X\right)\right)\right] \end{array}\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: 30 body: 3
2	ExprTuple	30
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 37 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	30, 11
9	Literal
10	ExprTuple	12, 13
11	Literal
12	Operation	operator: 15 operand: 17
13	Operation	operator: 15 operand: 18
14	ExprTuple	17
15	Literal
16	ExprTuple	18
17	Lambda	parameter: 39 body: 20
18	Lambda	parameters: 35 body: 21
19	ExprTuple	39
20	Conditional	value: 22 condition: 32
21	Conditional	value: 23 condition: 24
22	Operation	operator: 26 operands: 25
23	Operation	operator: 26 operands: 27
24	Operation	operator: 28 operands: 29
25	ExprTuple	30, 39
26	Literal
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	32, 33
30	Variable
31	Operation	operator: 34 operands: 35
32	Operation	operator: 37 operands: 36
33	Operation	operator: 37 operands: 38
34	Literal
35	ExprTuple	39, 40
36	ExprTuple	39, 41
37	Literal
38	ExprTuple	40, 41
39	Variable
40	Variable
41	Literal