Expression of type ExprTuple

from the theory of proveit.numbers.addition.subtraction

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, Equals, InSet
from proveit.numbers import Add, Complex, Neg, subtract

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, c], Conditional(Equals(subtract(Neg(a), b), Neg(c)), And(InSet(a, Complex), InSet(b, Complex), InSet(c, Complex), Equals(Add(a, 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(\left(a, b, c\right) \mapsto \left\{\left(-a - b\right) = \left(-c\right) \textrm{ if } a \in \mathbb{C} ,  b \in \mathbb{C} ,  c \in \mathbb{C} ,  \left(a + b\right) = 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	parameters: 2 body: 3
2	ExprTuple	33, 34, 27
3	Conditional	value: 4 condition: 5
4	Operation	operator: 21 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12, 13, 14
9	Operation	operator: 31 operands: 15
10	Operation	operator: 29 operand: 27
11	Operation	operator: 19 operands: 17
12	Operation	operator: 19 operands: 18
13	Operation	operator: 19 operands: 20
14	Operation	operator: 21 operands: 22
15	ExprTuple	23, 24
16	ExprTuple	27
17	ExprTuple	33, 25
18	ExprTuple	34, 25
19	Literal
20	ExprTuple	27, 25
21	Literal
22	ExprTuple	26, 27
23	Operation	operator: 29 operand: 33
24	Operation	operator: 29 operand: 34
25	Literal
26	Operation	operator: 31 operands: 32
27	Variable
28	ExprTuple	33
29	Literal
30	ExprTuple	34
31	Literal
32	ExprTuple	33, 34
33	Variable
34	Variable