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, ExprTuple, PofA
from proveit.logic import And, Boolean, Equals, FALSE, Forall, PofFalse, PofTrue, TRUE

# build up the expression from sub-expressions
expr = ExprTuple(And(Equals(PofTrue, FALSE), Equals(PofFalse, TRUE)), Equals(Forall(instance_param_or_params = [A], instance_expr = PofA, domain = Boolean), FALSE))

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\left(\top\right) = \bot\right) \land \left(P\left(\bot\right) = \top\right), \left[\forall_{A \in \mathbb{B}}~P\left(A\right)\right] = \bot\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 10 operands: 5
3	Literal
4	ExprTuple	6, 7
5	ExprTuple	8, 21
6	Operation	operator: 10 operands: 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operand: 16
9	ExprTuple	14, 21
10	Literal
11	ExprTuple	15, 20
12	Literal
13	ExprTuple	16
14	Operation	operator: 24 operand: 20
15	Operation	operator: 24 operand: 21
16	Lambda	parameter: 28 body: 19
17	ExprTuple	20
18	ExprTuple	21
19	Conditional	value: 22 condition: 23
20	Literal
21	Literal
22	Operation	operator: 24 operand: 28
23	Operation	operator: 26 operands: 27
24	Variable
25	ExprTuple	28
26	Literal
27	ExprTuple	28, 29
28	Variable
29	Literal