Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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, InSet
from proveit.numbers import Abs, Add, Complex, LessEq

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b], Conditional(LessEq(Abs(Add(a, b)), Add(Abs(a), Abs(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|a + b\right| \leq \left(\left|a\right| + \left|b\right|\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: 23 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12
9	Operation	operator: 25 operand: 18
10	Operation	operator: 22 operands: 14
11	Operation	operator: 16 operands: 15
12	Operation	operator: 16 operands: 17
13	ExprTuple	18
14	ExprTuple	19, 20
15	ExprTuple	27, 21
16	Literal
17	ExprTuple	28, 21
18	Operation	operator: 22 operands: 23
19	Operation	operator: 25 operand: 27
20	Operation	operator: 25 operand: 28
21	Literal
22	Literal
23	ExprTuple	27, 28
24	ExprTuple	27
25	Literal
26	ExprTuple	28
27	Variable
28	Variable