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
from proveit.logic import InSet
from proveit.numbers import Natural, zero
from proveit.physics.quantum.circuits import each_Nk_is_partial_sum

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(N, sub_expr1), Natural), zero, m), each_Nk_is_partial_sum)

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(N_{0} \in \mathbb{N}\right), \left(N_{1} \in \mathbb{N}\right), \ldots, \left(N_{m} \in \mathbb{N}\right), \left(N_{0} = 0\right)\land \left(N_{1} = \left(N_{1 - 1} + n_{1}\right)\right) \land  \left(N_{2} = \left(N_{2 - 1} + n_{2}\right)\right) \land  \ldots \land  \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	ExprRange	lambda_map: 3 start_index: 20 end_index: 13
2	Operation	operator: 4 operands: 5
3	Lambda	parameter: 33 body: 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 18 operands: 11
8	ExprRange	lambda_map: 12 start_index: 37 end_index: 13
9	Literal
10	ExprTuple	21, 14
11	ExprTuple	15, 20
12	Lambda	parameter: 33 body: 16
13	Variable
14	Literal
15	IndexedVar	variable: 26 index: 20
16	Operation	operator: 18 operands: 19
17	ExprTuple	20
18	Literal
19	ExprTuple	21, 22
20	Literal
21	IndexedVar	variable: 26 index: 33
22	Operation	operator: 31 operands: 23
23	ExprTuple	24, 25
24	IndexedVar	variable: 26 index: 30
25	IndexedVar	variable: 28 index: 33
26	Variable
27	ExprTuple	30
28	Variable
29	ExprTuple	33
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Variable
34	Operation	operator: 35 operand: 37
35	Literal
36	ExprTuple	37
37	Literal