Expression of type ExprTuple

from the theory of proveit.logic.booleans

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, Conditional, ExprTuple, Lambda, P, PofA, Q, QofA
from proveit.logic import And, Boolean, Forall, QimplPofFalse, QimplPofTrue

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([P, Q], Conditional(Forall(instance_param_or_params = [A], instance_expr = PofA, domain = Boolean, condition = QofA), And(QimplPofTrue, QimplPofFalse))))

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\{\forall_{A \in \mathbb{B}~|~Q\left(A\right)}~P\left(A\right) \textrm{ if } Q\left(\top\right) \Rightarrow P\left(\top\right) ,  Q\left(\bot\right) \Rightarrow P\left(\bot\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: 2 body: 3
2	ExprTuple	25, 33
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 9
5	Operation	operator: 22 operands: 8
6	Literal
7	ExprTuple	9
8	ExprTuple	10, 11
9	Lambda	parameter: 36 body: 12
10	Operation	operator: 14 operands: 13
11	Operation	operator: 14 operands: 15
12	Conditional	value: 16 condition: 17
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	20, 21
16	Operation	operator: 25 operand: 36
17	Operation	operator: 22 operands: 23
18	Operation	operator: 33 operand: 29
19	Operation	operator: 25 operand: 29
20	Operation	operator: 33 operand: 30
21	Operation	operator: 25 operand: 30
22	Literal
23	ExprTuple	27, 28
24	ExprTuple	29
25	Variable
26	ExprTuple	30
27	Operation	operator: 31 operands: 32
28	Operation	operator: 33 operand: 36
29	Literal
30	Literal
31	Literal
32	ExprTuple	36, 35
33	Variable
34	ExprTuple	36
35	Literal
36	Variable