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, Forall, PofFalse, PofTrue

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(P, Conditional(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\{\forall_{A \in \mathbb{B}}~P\left(A\right) \textrm{ if } P\left(\top\right) ,  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	parameter: 20 body: 3
2	ExprTuple	20
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 10
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10
8	Literal
9	ExprTuple	11, 12
10	Lambda	parameter: 24 body: 13
11	Operation	operator: 20 operand: 18
12	Operation	operator: 20 operand: 19
13	Conditional	value: 16 condition: 17
14	ExprTuple	18
15	ExprTuple	19
16	Operation	operator: 20 operand: 24
17	Operation	operator: 22 operands: 23
18	Literal
19	Literal
20	Variable
21	ExprTuple	24
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Literal