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

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

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