Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
2	instantiation	46, 4, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	:
4	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
5	instantiation	8, 43, 9, 10, 11	⊢
	: , : , : , : , :
6	theorem		⊢
	proveit.numbers.negation.nat_closure
7	instantiation	12, 13, 14	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
12	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
13	instantiation	15, 39, 37	⊢
	: , :
14	instantiation	16, 28, 27, 30, 17, 18*, 19*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
16	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
17	instantiation	20, 48	⊢
	:
18	instantiation	21, 22, 23	⊢
	: , :
19	instantiation	24, 25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	46, 29, 27	⊢
	: , : , :
23	instantiation	46, 29, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
25	instantiation	46, 29, 30	⊢
	: , : , :
26	instantiation	31	⊢
	:
27	instantiation	46, 33, 32	⊢
	: , : , :
28	instantiation	46, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 36, 48	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.equals_reflexivity
32	instantiation	46, 38, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	46, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	40, 41	⊢
	: , :
37	instantiation	46, 42, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	44, 45	⊢
	:
40	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	assumption		⊢
*equality replacement requirements