Expression of type ExprTuple

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 ExprRange, ExprTuple, IndexedVar, N, Variable, m, n
from proveit.logic import Equals
from proveit.numbers import Add, one, subtract, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Equals(IndexedVar(N, zero), zero), ExprRange(sub_expr1, Equals(IndexedVar(N, sub_expr1), Add(IndexedVar(N, subtract(sub_expr1, one)), IndexedVar(n, sub_expr1))), one, m))

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(N_{0} = 0,\left(N_{1} = \left(N_{1 - 1} + n_{1}\right)\right), \left(N_{2} = \left(N_{2 - 1} + n_{2}\right)\right), \ldots, \left(N_{m} = \left(N_{m - 1} + n_{m}\right)\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: 9 operands: 3
2	ExprRange	lambda_map: 4 start_index: 28 end_index: 5
3	ExprTuple	6, 11
4	Lambda	parameter: 24 body: 7
5	Variable
6	IndexedVar	variable: 17 index: 11
7	Operation	operator: 9 operands: 10
8	ExprTuple	11
9	Literal
10	ExprTuple	12, 13
11	Literal
12	IndexedVar	variable: 17 index: 24
13	Operation	operator: 22 operands: 14
14	ExprTuple	15, 16
15	IndexedVar	variable: 17 index: 21
16	IndexedVar	variable: 19 index: 24
17	Variable
18	ExprTuple	21
19	Variable
20	ExprTuple	24
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Operation	operator: 26 operand: 28
26	Literal
27	ExprTuple	28
28	Literal