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, Function, Lambda, a, b, c, f, x
from proveit.logic import InSet
from proveit.numbers import Add, Interval, subtract

# build up the expression from sub-expressions
expr = Lambda(x, Conditional(Function(f, [subtract(x, c)]), InSet(x, 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())

x \mapsto \left\{f\left(x - c\right) \textrm{ if } x \in \{a + c~\ldotp \ldotp~b + c\}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 14 body: 2
1	ExprTuple	14
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operand: 9
4	Operation	operator: 7 operands: 8
5	Variable
6	ExprTuple	9
7	Literal
8	ExprTuple	14, 10
9	Operation	operator: 21 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	14, 15
12	Literal
13	ExprTuple	16, 17
14	Variable
15	Operation	operator: 18 operand: 25
16	Operation	operator: 21 operands: 20
17	Operation	operator: 21 operands: 22
18	Literal
19	ExprTuple	25
20	ExprTuple	23, 25
21	Literal
22	ExprTuple	24, 25
23	Variable
24	Variable
25	Variable