Expression of type InSet

from the theory of proveit.logic.sets.inclusion

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 B, IndexedVar, Variable
from proveit.logic import Boolean, Forall, InSet
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = IndexedVar(Variable("Q1"), one)
expr = InSet(Forall(instance_param_or_params = [sub_expr1], instance_expr = InSet(sub_expr1, B)), Boolean)

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[\forall_{Q1_{1}}~\left(Q1_{1} \in B\right)\right] \in \mathbb{B}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
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',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 9 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operand: 6
3	Literal
4	Literal
5	ExprTuple	6
6	Lambda	parameter: 11 body: 8
7	ExprTuple	11
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12
11	IndexedVar	variable: 13 index: 15
12	Variable
13	Variable
14	ExprTuple	15
15	Literal