Theorem qmult_op_in_QmultCodomain of type Forall

from the theory of proveit.physics.quantum.algebra

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.physics.quantum.algebra import qmult_op_in_QmultCodomain

# check that the built expression is the same as the stored expression
assert qmult_op_in_QmultCodomain.expr == stored_expr
assert qmult_op_in_QmultCodomain.expr._style_id == stored_expr._style_id
print("Passed sanity check: qmult_op_in_QmultCodomain matches stored_expr")

Passed sanity check: qmult_op_in_QmultCodomain matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{\mathcal{H}, X \underset{{\scriptscriptstyle c}}{\in} \textrm{HilbertSpaces}}~\left[\forall_{A \in \mathcal{L}\left(\mathcal{H}, X\right)}~\left(\left[A\right] \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}\right)\right]

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 6 operand: 2
1	ExprTuple	2
2	Lambda	parameters: 29 body: 3
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 10
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10
8	Literal
9	ExprTuple	11, 12
10	Lambda	parameter: 30 body: 13
11	Operation	operator: 19 operands: 14
12	Operation	operator: 19 operands: 15
13	Conditional	value: 16 condition: 17
14	ExprTuple	31, 18
15	ExprTuple	32, 18
16	Operation	operator: 19 operands: 20
17	Operation	operator: 21 operands: 22
18	Literal
19	Literal
20	ExprTuple	23, 24
21	Literal
22	ExprTuple	30, 25
23	Operation	operator: 26 operand: 30
24	Literal
25	Operation	operator: 28 operands: 29
26	Literal
27	ExprTuple	30
28	Literal
29	ExprTuple	31, 32
30	Variable
31	Variable
32	Variable