Expression of type Set

from the theory of proveit.logic.sets.equivalence

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 a, b
from proveit.logic import Set

# build up the expression from sub-expressions
expr = Set(Set(), Set(a), Set(b), Set(a, b))

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\{\right\}, \left\{a\right\}, \left\{b\right\}, \left\{a, b\right\}\right\}

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 9 operands: 1
1	ExprTuple	2, 3, 4, 5
2	Operation	operator: 9 operands: 6
3	Operation	operator: 9 operand: 11
4	Operation	operator: 9 operand: 12
5	Operation	operator: 9 operands: 10
6	ExprTuple
7	ExprTuple	11
8	ExprTuple	12
9	Literal
10	ExprTuple	11, 12
11	Variable
12	Variable