Expression of type And

from the theory of proveit.physics.quantum.circuits

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 m
from proveit.logic import And, InSet
from proveit.numbers import NaturalPos
from proveit.physics.quantum import m_ket_domain, normalized_var_ket_psi, var_ket_psi

# build up the expression from sub-expressions
expr = And(InSet(m, NaturalPos), InSet(var_ket_psi, m_ket_domain), normalized_var_ket_psi)

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(m \in \mathbb{N}^+\right) \land \left(\lvert \psi \rangle \in \mathbb{C}^{2^{m}}\right) \land \left(\left \|\lvert \psi \rangle\right \| = 1\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4, 5
3	Operation	operator: 7 operands: 6
4	Operation	operator: 7 operands: 8
5	Operation	operator: 9 operands: 10
6	ExprTuple	25, 11
7	Literal
8	ExprTuple	21, 12
9	Literal
10	ExprTuple	13, 14
11	Literal
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operand: 21
14	Literal
15	Literal
16	ExprTuple	19, 20
17	Literal
18	ExprTuple	21
19	Literal
20	Operation	operator: 22 operands: 23
21	Variable
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Variable