Expression of type ExprTuple

from the theory of proveit.numbers.summation

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, b, j
from proveit.logic import InSet
from proveit.numbers import Add, Interval, subtract, three

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(j, Conditional(subtract(j, three), InSet(j, Interval(Add(a, three), Add(b, three))))))

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