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, ExprTuple, Lambda, x, y, z
from proveit.logic import And
from proveit.numbers import Less, LessEq

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

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, z\right) \mapsto \left\{x < z \textrm{ if } x \leq y ,  y < z\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	15, 16, 17
3	Conditional	value: 4 condition: 5
4	Operation	operator: 13 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	15, 17
7	Literal
8	ExprTuple	9, 10
9	Operation	operator: 11 operands: 12
10	Operation	operator: 13 operands: 14
11	Literal
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	16, 17
15	Variable
16	Variable
17	Variable