Expression of type ExprTuple

from the theory of proveit.logic.sets.power_set

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, S, x
from proveit.logic import Equals, InSet, PowerSet, SubsetEq

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, S], Equals(InSet(x, PowerSet(S)), SubsetEq(x, S))))

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, S\right) \mapsto \left(\left(x \in \mathcal{P}\left(S\right)\right) = \left(x \subseteq S\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: 10 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	12, 11
9	Literal
10	ExprTuple	12, 15
11	Operation	operator: 13 operand: 15
12	Variable
13	Literal
14	ExprTuple	15
15	Variable