Expression of type ExprTuple

from the theory of proveit.logic.sets.membership

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, a
from proveit.logic import And, NotEquals, TRUE
from proveit.numbers import Add, five, one, three

# build up the expression from sub-expressions
expr = ExprTuple(And(NotEquals(a, one), NotEquals(a, Add(one, three)), NotEquals(a, three)), And(NotEquals(five, one), TRUE, NotEquals(five, 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(\left(a \neq 1\right) \land \left(a \neq \left(1 + 3\right)\right) \land \left(a \neq 3\right), \left(5 \neq 1\right) \land \top \land \left(5 \neq 3\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, 8
4	Literal
5	ExprTuple	9, 10, 11
6	Operation	operator: 16 operands: 12
7	Operation	operator: 16 operands: 13
8	Operation	operator: 16 operands: 14
9	Operation	operator: 16 operands: 15
10	Literal
11	Operation	operator: 16 operands: 17
12	ExprTuple	19, 23
13	ExprTuple	19, 18
14	ExprTuple	19, 24
15	ExprTuple	20, 23
16	Literal
17	ExprTuple	20, 24
18	Operation	operator: 21 operands: 22
19	Variable
20	Literal
21	Literal
22	ExprTuple	23, 24
23	Literal
24	Literal