Expression of type ExprTuple

from the theory of proveit.numbers.ordering

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, ConditionalSet, ExprTuple, Lambda, x, y
from proveit.logic import And, Equals, InSet
from proveit.numbers import Less, LessEq, Min, Real

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(Equals(Min(x, y), ConditionalSet(Conditional(x, LessEq(x, y)), Conditional(y, Less(y, x)))), And(InSet(x, Real), InSet(y, Real)))))

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(x, y\right) \mapsto \left\{{\rm Min}\left(x, y\right) = \left\{\begin{array}{ccc}x \textrm{ if } x \leq y \\ y \textrm{ if } y < x\end{array}\right.. \textrm{ if } x \in \mathbb{R} ,  y \in \mathbb{R}\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: 25 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: 13 operands: 25
10	Operation	operator: 14 operands: 15
11	Operation	operator: 17 operands: 16
12	Operation	operator: 17 operands: 18
13	Literal
14	Literal
15	ExprTuple	19, 20
16	ExprTuple	29, 21
17	Literal
18	ExprTuple	28, 21
19	Conditional	value: 29 condition: 22
20	Conditional	value: 28 condition: 23
21	Literal
22	Operation	operator: 24 operands: 25
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	29, 28
26	Literal
27	ExprTuple	28, 29
28	Variable
29	Variable