Expression of type ExprTuple

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 A, B, ExprTuple, Lambda, x
from proveit.logic import Equals, Forall, InSet, SubsetEq

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Equals(SubsetEq(A, B), Forall(instance_param_or_params = [x], instance_expr = InSet(x, B), domain = A))))

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, B\right) \mapsto \left(\left(A \subseteq B\right) = \left[\forall_{x \in A}~\left(x \in B\right)\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: 8 body: 2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operand: 11
7	Literal
8	ExprTuple	21, 19
9	Literal
10	ExprTuple	11
11	Lambda	parameter: 20 body: 13
12	ExprTuple	20
13	Conditional	value: 14 condition: 15
14	Operation	operator: 17 operands: 16
15	Operation	operator: 17 operands: 18
16	ExprTuple	20, 19
17	Literal
18	ExprTuple	20, 21
19	Variable
20	Variable
21	Variable