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, Lambda, P, PofA
from proveit.logic import And, Boolean, Equals, FALSE, Forall, Implies, PofFalse, PofTrue

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(P, Implies(And(Equals(PofTrue, FALSE), Equals(PofFalse, FALSE)), 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(P \mapsto \left(\left(\left(P\left(\top\right) = \bot\right) \land \left(P\left(\bot\right) = \bot\right)\right) \Rightarrow \left(\left[\forall_{A \in \mathbb{B}}~P\left(A\right)\right] = \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	parameter: 29 body: 3
2	ExprTuple	29
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 15 operands: 10
8	Literal
9	ExprTuple	11, 12
10	ExprTuple	13, 26
11	Operation	operator: 15 operands: 14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operand: 21
14	ExprTuple	19, 26
15	Literal
16	ExprTuple	20, 26
17	Literal
18	ExprTuple	21
19	Operation	operator: 29 operand: 25
20	Operation	operator: 29 operand: 26
21	Lambda	parameter: 33 body: 24
22	ExprTuple	25
23	ExprTuple	26
24	Conditional	value: 27 condition: 28
25	Literal
26	Literal
27	Operation	operator: 29 operand: 33
28	Operation	operator: 31 operands: 32
29	Variable
30	ExprTuple	33
31	Literal
32	ExprTuple	33, 34
33	Variable
34	Literal