Expression of type ExprTuple

from the theory of proveit.logic.booleans.conjunction

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, ExprRange, ExprTuple, Lambda, Variable, n
from proveit.logic import And, Forall, InSet
from proveit.numbers import Natural, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(n, Conditional(Forall(instance_param_or_params = [A], instance_expr = And(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), A, one, n)), condition = A), InSet(n, Natural))))

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(n \mapsto \left\{\forall_{A~|~A}~\left(A \land  A \land  ..\left(n - 3\right) \times.. \land  A\right) \textrm{ if } n \in \mathbb{N}\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	20, 11
10	Lambda	parameter: 22 body: 13
11	Literal
12	ExprTuple	22
13	Conditional	value: 14 condition: 22
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17
17	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
18	Lambda	parameter: 23 body: 22
19	Literal
20	Variable
21	ExprTuple	23
22	Variable
23	Variable