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, 4, 5, 6	⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.add_nat_closure
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	instantiation	7	⊢
	: , : , :
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	8, 9	⊢
	:
6	reference	41	⊢
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
8	theorem		⊢
	proveit.numbers.negation.nat_closure
9	instantiation	10, 11, 12	⊢
	:
10	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
11	instantiation	13, 37, 35	⊢
	: , :
12	instantiation	14, 26, 25, 28, 15, 16*, 17*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
14	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
15	instantiation	18, 46	⊢
	:
16	instantiation	19, 20, 21	⊢
	: , :
17	instantiation	22, 23, 24	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	44, 27, 25	⊢
	: , : , :
21	instantiation	44, 27, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
23	instantiation	44, 27, 28	⊢
	: , : , :
24	instantiation	29	⊢
	:
25	instantiation	44, 31, 30	⊢
	: , : , :
26	instantiation	44, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	33, 34, 46	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.equals_reflexivity
30	instantiation	44, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	44, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	38, 39	⊢
	: , :
35	instantiation	44, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	42, 43	⊢
	:
38	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
46	assumption		⊢
*equality replacement requirements