Expression of type ExprTuple

from the theory of proveit.numbers.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, Lambda, a, b, c, d
from proveit.logic import And, Equals, InSet
from proveit.numbers import Add, Integer, Mult, frac

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, c, d], Conditional(Equals(Add(frac(a, b), frac(c, d)), frac(Add(Mult(a, d), Mult(b, c)), Mult(b, d))), And(InSet(a, Integer), InSet(b, Integer), InSet(c, Integer), InSet(d, Integer)))))

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, d\right) \mapsto \left\{\left(\frac{a}{b} + \frac{c}{d}\right) = \frac{\left(a \cdot d\right) + \left(b \cdot c\right)}{b \cdot d} \textrm{ if } a \in \mathbb{Z} ,  b \in \mathbb{Z} ,  c \in \mathbb{Z} ,  d \in \mathbb{Z}\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	39, 41, 42, 40
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: 31 operands: 16
11	Operation	operator: 29 operands: 17
12	Operation	operator: 21 operands: 18
13	Operation	operator: 21 operands: 19
14	Operation	operator: 21 operands: 20
15	Operation	operator: 21 operands: 22
16	ExprTuple	23, 24
17	ExprTuple	25, 26
18	ExprTuple	39, 27
19	ExprTuple	41, 27
20	ExprTuple	42, 27
21	Literal
22	ExprTuple	40, 27
23	Operation	operator: 29 operands: 28
24	Operation	operator: 29 operands: 30
25	Operation	operator: 31 operands: 32
26	Operation	operator: 37 operands: 33
27	Literal
28	ExprTuple	39, 41
29	Literal
30	ExprTuple	42, 40
31	Literal
32	ExprTuple	34, 35
33	ExprTuple	41, 40
34	Operation	operator: 37 operands: 36
35	Operation	operator: 37 operands: 38
36	ExprTuple	39, 40
37	Literal
38	ExprTuple	41, 42
39	Variable
40	Variable
41	Variable
42	Variable