Expression of type Len

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.core_expr_types import Len
from proveit.numbers import Add, Neg, one
from proveit.physics.quantum.QPE import _s, _t

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
sub_expr2 = Add(_t, _s)
sub_expr3 = Add(_t, sub_expr1, one)
expr = Len(operands = [sub_expr3, Add(_s, sub_expr1, one), sub_expr3, Add(sub_expr2, Neg(Add(_t, one)), one), Add(sub_expr2, sub_expr1, one)])

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 - 1 + 1, s - 1 + 1, t - 1 + 1, \left(t + s\right) - \left(t + 1\right) + 1, \left(t + s\right) - 1 + 1\right)|

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	4, 3, 4, 5, 6
3	Operation	operator: 20 operands: 7
4	Operation	operator: 20 operands: 8
5	Operation	operator: 20 operands: 9
6	Operation	operator: 20 operands: 10
7	ExprTuple	19, 13, 23
8	ExprTuple	22, 13, 23
9	ExprTuple	12, 11, 23
10	ExprTuple	12, 13, 23
11	Operation	operator: 16 operand: 18
12	Operation	operator: 20 operands: 15
13	Operation	operator: 16 operand: 23
14	ExprTuple	18
15	ExprTuple	22, 19
16	Literal
17	ExprTuple	23
18	Operation	operator: 20 operands: 21
19	Literal
20	Literal
21	ExprTuple	22, 23
22	Literal
23	Literal