Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.natural_numbers

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 ExprTuple, m
from proveit.logic import Forall
from proveit.numbers import NaturalPos, P_mAddOne, Pm, Pone

# build up the expression from sub-expressions
expr = ExprTuple(Pone, Forall(instance_param_or_params = [m], instance_expr = P_mAddOne, domain = NaturalPos, condition = Pm))

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\left(1\right), \forall_{m \in \mathbb{N}^+~|~P\left(m\right)}~P\left(m + 1\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 20 operand: 22
2	Operation	operator: 4 operand: 6
3	ExprTuple	22
4	Literal
5	ExprTuple	6
6	Lambda	parameter: 24 body: 7
7	Conditional	value: 8 condition: 9
8	Operation	operator: 20 operand: 13
9	Operation	operator: 11 operands: 12
10	ExprTuple	13
11	Literal
12	ExprTuple	14, 15
13	Operation	operator: 16 operands: 17
14	Operation	operator: 18 operands: 19
15	Operation	operator: 20 operand: 24
16	Literal
17	ExprTuple	24, 22
18	Literal
19	ExprTuple	24, 23
20	Variable
21	ExprTuple	24
22	Literal
23	Literal
24	Variable