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.core_expr_types.tuples.merge_front
2	instantiation	4, 20, 5	⊢
	: , :
3	instantiation	6, 7	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
5	instantiation	8, 9	⊢
	:
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	10, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.negation.nat_closure
9	instantiation	13, 14, 15	⊢
	:
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	16, 20, 19, 53, 22, 17, 33, 32	⊢
	: , : , : , : , : , :
12	instantiation	18, 53, 19, 20, 21, 22, 33, 32, 23*	⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
14	instantiation	24, 49, 47	⊢
	: , :
15	instantiation	25, 38, 37, 40, 26, 27*, 28*	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.disassociation
17	instantiation	29	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.association
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	instantiation	29	⊢
	: , :
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
26	instantiation	30, 58	⊢
	:
27	instantiation	31, 32, 33	⊢
	: , :
28	instantiation	34, 35, 36	⊢
	: , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
31	theorem		⊢
	proveit.numbers.addition.commutation
32	instantiation	56, 39, 37	⊢
	: , : , :
33	instantiation	56, 39, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
35	instantiation	56, 39, 40	⊢
	: , : , :
36	instantiation	41	⊢
	:
37	instantiation	56, 43, 42	⊢
	: , : , :
38	instantiation	56, 43, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	45, 46, 58	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_reflexivity
42	instantiation	56, 48, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	56, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
46	instantiation	50, 51	⊢
	: , :
47	instantiation	56, 52, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	54, 55	⊢
	:
50	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	assumption		⊢
*equality replacement requirements