Expression of type ExprTuple

from the theory of proveit.numbers.modular

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, c
from proveit.logic import And, InSet, NotEquals
from proveit.numbers import Abs, Add, LessEq, Mod, ModAbs, Real, subtract, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, c], Conditional(LessEq(ModAbs(subtract(Mod(Add(b, a), c), b), c), Abs(a)), And(InSet(a, Real), InSet(b, Real), InSet(c, Real), NotEquals(c, 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(\left(a, b, c\right) \mapsto \left\{\left|\left(\left(b + a\right) ~\textup{mod}~ c\right) - b\right|_{\textup{mod}\thinspace c} \leq \left|a\right| \textrm{ if } a \in \mathbb{R} ,  b \in \mathbb{R} ,  c \in \mathbb{R} ,  c \neq 0\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	parameters: 2 body: 3
2	ExprTuple	41, 40, 37
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13, 14, 15
10	Operation	operator: 16 operands: 17
11	Operation	operator: 18 operand: 41
12	Operation	operator: 22 operands: 20
13	Operation	operator: 22 operands: 21
14	Operation	operator: 22 operands: 23
15	Operation	operator: 24 operands: 25
16	Literal
17	ExprTuple	26, 37
18	Literal
19	ExprTuple	41
20	ExprTuple	41, 27
21	ExprTuple	40, 27
22	Literal
23	ExprTuple	37, 27
24	Literal
25	ExprTuple	37, 28
26	Operation	operator: 38 operands: 29
27	Literal
28	Literal
29	ExprTuple	30, 31
30	Operation	operator: 32 operands: 33
31	Operation	operator: 34 operand: 40
32	Literal
33	ExprTuple	36, 37
34	Literal
35	ExprTuple	40
36	Operation	operator: 38 operands: 39
37	Variable
38	Literal
39	ExprTuple	40, 41
40	Variable
41	Variable