Expression of type ExprTuple

from the theory of proveit.logic.sets.disjointness

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 ExprTuple, Lambda
from proveit.core_expr_types import x_1_to_n
from proveit.logic import Disjoint, Distinct, Equals
from proveit.logic.sets import x_singletons_range

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x_1_to_n], Equals(Distinct(x_1_to_n), Disjoint(x_singletons_range))))

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_{1}, x_{2}, \ldots, x_{n}\right) \mapsto \left(\textrm{distinct}\left(x_{1}, x_{2}, \ldots, x_{n}\right) = \textrm{disjoint}\left(\left\{x_{1}\right\}, \left\{x_{2}\right\}, \ldots, \left\{x_{n}\right\}\right)\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: 8 body: 2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	ExprTuple	11
9	Literal
10	ExprTuple	12
11	ExprRange	lambda_map: 13 start_index: 15 end_index: 16
12	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
13	Lambda	parameter: 23 body: 20
14	Lambda	parameter: 23 body: 17
15	Literal
16	Variable
17	Operation	operator: 18 operand: 20
18	Literal
19	ExprTuple	20
20	IndexedVar	variable: 21 index: 23
21	Variable
22	ExprTuple	23
23	Variable