Expression of type Lambda

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 A, IndexedVar, Lambda, Variable, n
from proveit.logic import CartExp, InSet
from proveit.numbers import Complex, Exp, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Lambda(sub_expr1, InSet(IndexedVar(A, sub_expr1), CartExp(Complex, Exp(two, IndexedVar(n, sub_expr1)))))

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())

{_{-}a} \mapsto \left(A_{{_{-}a}} \in \mathbb{C}^{2^{n_{{_{-}a}}}}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 17 body: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	IndexedVar	variable: 6 index: 17
5	Operation	operator: 7 operands: 8
6	Variable
7	Literal
8	ExprTuple	9, 10
9	Literal
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Literal
14	IndexedVar	variable: 15 index: 17
15	Variable
16	ExprTuple	17
17	Variable