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, Function, Lambda, i, v
from proveit.logic import InSet
from proveit.numbers import DecimalSequence, Interval, one, subtract, three, two, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(Function(v, [subtract(i, two)]), InSet(i, Interval(three, DecimalSequence(one, zero))))))

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