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 Conditional, ExprTuple, Lambda
from proveit.linear_algebra import Hspace, LinMap
from proveit.logic import InSet
from proveit.numbers import Complex
from proveit.physics.quantum import Qmult, bra_varphi, ket_varphi, varphi

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(varphi, Conditional(InSet(Qmult(bra_varphi), LinMap(Hspace, Complex)), InSet(ket_varphi, Hspace))))

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(\varphi \mapsto \left\{\left[\langle \varphi \rvert\right] \in \mathcal{L}\left(\mathcal{H}, \mathbb{C}\right) \textrm{ if } \lvert \varphi \rangle \in \mathcal{H}\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: 21 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 17
8	Operation	operator: 11 operand: 16
9	Operation	operator: 13 operands: 14
10	Operation	operator: 15 operand: 21
11	Literal
12	ExprTuple	16
13	Literal
14	ExprTuple	17, 18
15	Literal
16	Operation	operator: 19 operand: 21
17	Variable
18	Literal
19	Literal
20	ExprTuple	21
21	Variable