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, C, ExprTuple, alpha, beta, delta, gamma
from proveit.linear_algebra import VecAdd
from proveit.logic import Equals, InClass
from proveit.physics.quantum import Qmult, QmultCodomain, bra_varphi, ket_psi

# build up the expression from sub-expressions
sub_expr1 = Qmult(bra_varphi, alpha, VecAdd(A, B, C), beta, ket_psi, gamma, bra_varphi, delta)
expr = ExprTuple(InClass(sub_expr1, QmultCodomain), Equals(sub_expr1, VecAdd(Qmult(bra_varphi, alpha, A, beta, ket_psi, gamma, bra_varphi, delta), Qmult(bra_varphi, alpha, B, beta, ket_psi, gamma, bra_varphi, delta), Qmult(bra_varphi, alpha, C, beta, ket_psi, gamma, bra_varphi, delta))).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(\left(\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right) \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}, \begin{array}{c} \begin{array}{l} \left(\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right) =  \\ \left(\left(\langle \varphi \rvert \thinspace \alpha \thinspace A \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right) + \left(\langle \varphi \rvert \thinspace \alpha \thinspace B \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right) + \left(\langle \varphi \rvert \thinspace \alpha \thinspace C \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right)\right) \end{array} \end{array}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	8, 7
5	Literal
6	ExprTuple	8, 9
7	Literal
8	Operation	operator: 20 operands: 10
9	Operation	operator: 16 operands: 11
10	ExprTuple	29, 24, 12, 26, 27, 28, 29, 30
11	ExprTuple	13, 14, 15
12	Operation	operator: 16 operands: 17
13	Operation	operator: 20 operands: 18
14	Operation	operator: 20 operands: 19
15	Operation	operator: 20 operands: 21
16	Literal
17	ExprTuple	22, 23, 25
18	ExprTuple	29, 24, 22, 26, 27, 28, 29, 30
19	ExprTuple	29, 24, 23, 26, 27, 28, 29, 30
20	Literal
21	ExprTuple	29, 24, 25, 26, 27, 28, 29, 30
22	Variable
23	Variable
24	Variable
25	Variable
26	Variable
27	Operation	operator: 31 operand: 35
28	Variable
29	Operation	operator: 33 operand: 36
30	Variable
31	Literal
32	ExprTuple	35
33	Literal
34	ExprTuple	36
35	Variable
36	Variable