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, a, b
from proveit.logic import FALSE
from proveit.numbers import greater, greater_eq

# build up the expression from sub-expressions
expr = ExprTuple(ConditionalSet(Conditional(b, greater_eq(b, a)), Conditional(a, greater(a, b))), ConditionalSet(b, Conditional(a, FALSE)))

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\{\begin{array}{ccc}b \textrm{ if } b \geq a \\ a \textrm{ if } a > b\end{array}\right.., \left\{\begin{array}{ccc}b \\ a \textrm{ if } \bot\end{array}\right..\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	16, 8
6	Conditional	value: 16 condition: 9
7	Conditional	value: 17 condition: 10
8	Conditional	value: 17 condition: 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	Literal
12	Literal
13	ExprTuple	17, 16
14	Literal
15	ExprTuple	16, 17
16	Variable
17	Variable