Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, t
from proveit.linear_algebra import Norm
from proveit.logic import And, CartExp, Equals, InSet
from proveit.numbers import Complex, NaturalPos, one
from proveit.physics.quantum.QPE import _psi_t_ket, two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(t, Conditional(And(InSet(_psi_t_ket, CartExp(Complex, two_pow_t)), Equals(Norm(_psi_t_ket), one)), InSet(t, NaturalPos))))

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(t \mapsto \left\{\left(\lvert \psi_{t} \rangle \in \mathbb{C}^{2^{t}}\right) \land \left(\left \|\lvert \psi_{t} \rangle\right \| = 1\right) \textrm{ if } t \in \mathbb{N}^+\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: 30 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 11 operands: 7
5	Literal
6	ExprTuple	8, 9
7	ExprTuple	30, 10
8	Operation	operator: 11 operands: 12
9	Operation	operator: 13 operands: 14
10	Literal
11	Literal
12	ExprTuple	24, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 18 operands: 19
16	Operation	operator: 20 operand: 24
17	Literal
18	Literal
19	ExprTuple	22, 23
20	Literal
21	ExprTuple	24
22	Literal
23	Operation	operator: 25 operands: 26
24	Operation	operator: 27 operand: 30
25	Literal
26	ExprTuple	29, 30
27	Literal
28	ExprTuple	30
29	Literal
30	Variable