Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

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, a, i, va, vi
from proveit.linear_algebra import VecSum
from proveit.logic import Equals, InSet
from proveit.numbers import Integer, Interval

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(a, Conditional(Equals(VecSum(index_or_indices = [i], summand = vi, domain = Interval(a, a)), va), InSet(a, Integer))))

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(a \mapsto \left\{\left(\sum_{i=a}^{a} v\left(i\right)\right) = v\left(a\right) \textrm{ if } a \in \mathbb{Z}\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: 26 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 20 operands: 7
5	Literal
6	ExprTuple	8, 9
7	ExprTuple	26, 10
8	Operation	operator: 11 operand: 14
9	Operation	operator: 18 operand: 26
10	Literal
11	Literal
12	ExprTuple	14
13	ExprTuple	26
14	Lambda	parameter: 22 body: 15
15	Conditional	value: 16 condition: 17
16	Operation	operator: 18 operand: 22
17	Operation	operator: 20 operands: 21
18	Variable
19	ExprTuple	22
20	Literal
21	ExprTuple	22, 23
22	Variable
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 26
26	Variable