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, Forall, Implies, PofFalse, PofTrue

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

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] \Rightarrow \left(P\left(\top\right) \land P\left(\bot\right)\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: 22 body: 3
2	ExprTuple	22
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operand: 12
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12
10	Literal
11	ExprTuple	13, 14
12	Lambda	parameter: 26 body: 15
13	Operation	operator: 22 operand: 20
14	Operation	operator: 22 operand: 21
15	Conditional	value: 18 condition: 19
16	ExprTuple	20
17	ExprTuple	21
18	Operation	operator: 22 operand: 26
19	Operation	operator: 24 operands: 25
20	Literal
21	Literal
22	Variable
23	ExprTuple	26
24	Literal
25	ExprTuple	26, 27
26	Variable
27	Literal