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, InnerProd
from proveit.logic import InSet
from proveit.physics.quantum import Qmult, bra_varphi, ket_varphi, var_ket_psi

# build up the expression from sub-expressions
expr = ExprTuple(Qmult(bra_varphi), Lambda(var_ket_psi, Conditional(InnerProd(var_ket_psi, ket_varphi), InSet(var_ket_psi, 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(\left[\langle \varphi \rvert\right], \lvert \psi \rangle \mapsto \left\{\left \langle \lvert \psi \rangle, \lvert \varphi \rangle\right \rangle \textrm{ if } \lvert \psi \rangle \in \mathcal{H}\right..\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 operand: 7
2	Lambda	parameter: 16 body: 6
3	Literal
4	ExprTuple	7
5	ExprTuple	16
6	Conditional	value: 8 condition: 9
7	Operation	operator: 10 operand: 20
8	Operation	operator: 11 operands: 12
9	Operation	operator: 13 operands: 14
10	Literal
11	Literal
12	ExprTuple	16, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 18 operand: 20
16	Variable
17	Variable
18	Literal
19	ExprTuple	20
20	Variable