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, a, b, c, i, v
from proveit.logic import InSet
from proveit.numbers import Add, Interval, subtract

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(Function(v, [subtract(i, c)]), InSet(i, Interval(Add(a, c), Add(b, c))))))

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 - c\right) \textrm{ if } i \in \{a + c~\ldotp \ldotp~b + c\}\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: 15 body: 3
2	ExprTuple	15
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	15, 11
10	Operation	operator: 22 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Operation	operator: 19 operand: 26
17	Operation	operator: 22 operands: 21
18	Operation	operator: 22 operands: 23
19	Literal
20	ExprTuple	26
21	ExprTuple	24, 26
22	Literal
23	ExprTuple	25, 26
24	Variable
25	Variable
26	Variable