Expression of type ExprTuple

from the theory of proveit.logic.booleans.quantification.universality

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, P, Q
from proveit.logic import Boolean, InSet
from proveit.logic.booleans.quantification import general_forall_Px_if_Qx

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([P, Q], InSet(general_forall_Px_if_Qx, 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(\left(P, Q\right) \mapsto \left(\left[\forall_{x_{1}, x_{2}, \ldots, x_{n}~|~Q\left(x_{1}, x_{2}, \ldots, x_{n}\right)}~P\left(x_{1}, x_{2}, \ldots, x_{n}\right)\right] \in \mathbb{B}\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: 2 body: 3
2	ExprTuple	14, 15
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operand: 10
7	Literal
8	Literal
9	ExprTuple	10
10	Lambda	parameters: 16 body: 11
11	Conditional	value: 12 condition: 13
12	Operation	operator: 14 operands: 16
13	Operation	operator: 15 operands: 16
14	Variable
15	Variable
16	ExprTuple	17
17	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
18	Lambda	parameter: 24 body: 21
19	Literal
20	Variable
21	IndexedVar	variable: 22 index: 24
22	Variable
23	ExprTuple	24
24	Variable