Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

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
from proveit.logic import Equals, InSet, Or, Set
from proveit.numbers import one, three, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Or(Equals(x, one), Equals(x, two), Equals(x, three)), InSet(x, Set(one, two, three)))))

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(x \mapsto \left\{\left(x = 1\right) \lor \left(x = 2\right) \lor \left(x = 3\right) \textrm{ if } x \in \left\{1, 2, 3\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	parameter: 20 body: 3
2	ExprTuple	20
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11, 12
8	Literal
9	ExprTuple	20, 13
10	Operation	operator: 16 operands: 14
11	Operation	operator: 16 operands: 15
12	Operation	operator: 16 operands: 17
13	Operation	operator: 18 operands: 19
14	ExprTuple	20, 21
15	ExprTuple	20, 22
16	Literal
17	ExprTuple	20, 23
18	Literal
19	ExprTuple	21, 22, 23
20	Variable
21	Literal
22	Literal
23	Literal