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