Expression of type Lambda

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, Lambda, i
from proveit.logic import InSet
from proveit.numbers import Add, Interval, one, six, subtract, two

# build up the expression from sub-expressions
expr = Lambda(i, Conditional(Add(subtract(i, one), two), InSet(i, Interval(Add(two, one), Add(six, one)))))

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())

i \mapsto \left\{\left(i - 1\right) + 2 \textrm{ if } i \in \{2 + 1~\ldotp \ldotp~6 + 1\}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 13 body: 2
1	ExprTuple	13
2	Conditional	value: 3 condition: 4
3	Operation	operator: 20 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 22
6	Literal
7	ExprTuple	13, 9
8	Operation	operator: 20 operands: 10
9	Operation	operator: 11 operands: 12
10	ExprTuple	13, 14
11	Literal
12	ExprTuple	15, 16
13	Variable
14	Operation	operator: 17 operand: 24
15	Operation	operator: 20 operands: 19
16	Operation	operator: 20 operands: 21
17	Literal
18	ExprTuple	24
19	ExprTuple	22, 24
20	Literal
21	ExprTuple	23, 24
22	Literal
23	Literal
24	Literal