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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 7	⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	11, 12	⊢
	: , : , :
7	instantiation	13, 14	⊢
	:
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	15, 16, 17, 35	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	18, 19	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.elim_zero_left
14	instantiation	20, 21	⊢
	:
15	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
16	instantiation	48, 25, 22	⊢
	: , : , :
17	instantiation	48, 25, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
19	instantiation	48, 25, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	48, 25, 26	⊢
	: , : , :
22	instantiation	48, 28, 33	⊢
	: , : , :
23	instantiation	48, 28, 34	⊢
	: , : , :
24	instantiation	48, 28, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	48, 28, 29	⊢
	: , : , :
27	instantiation	48, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	32, 33, 34, 35	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
31	instantiation	36, 37, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.division.div_rational_closure
33	instantiation	48, 40, 39	⊢
	: , : , :
34	instantiation	48, 40, 41	⊢
	: , : , :
35	instantiation	42, 43	⊢
	:
36	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
37	instantiation	48, 45, 44	⊢
	: , : , :
38	instantiation	48, 45, 46	⊢
	: , : , :
39	instantiation	48, 49, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	48, 49, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3