Expression of type ExprTuple

from the theory of proveit.numbers.negation

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
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], Conditional(Equals(Neg(subtract(a, b)), Add(Neg(a), b)), And(InSet(a, Complex), InSet(b, Complex)))))

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\right) \mapsto \left\{\left(-\left(a - b\right)\right) = \left(-a + b\right) \textrm{ if } a \in \mathbb{C} ,  b \in \mathbb{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	26, 29
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
10	Operation	operator: 27 operand: 19
11	Operation	operator: 22 operands: 15
12	Operation	operator: 17 operands: 16
13	Operation	operator: 17 operands: 18
14	ExprTuple	19
15	ExprTuple	20, 29
16	ExprTuple	26, 21
17	Literal
18	ExprTuple	29, 21
19	Operation	operator: 22 operands: 23
20	Operation	operator: 27 operand: 26
21	Literal
22	Literal
23	ExprTuple	26, 25
24	ExprTuple	26
25	Operation	operator: 27 operand: 29
26	Variable
27	Literal
28	ExprTuple	29
29	Variable