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.division.strong_div_from_numer_bound__pos_denom
2	reference	22	⊢
3	reference	33	⊢
4	instantiation	7, 33, 8, 9, 10, 11*, 12*	⊢
	: , : , :
5	instantiation	17, 24	⊢
	:
6	instantiation	13, 14, 15	⊢
	:
7	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
9	instantiation	40, 35, 16	⊢
	: , : , :
10	instantiation	17, 18	⊢
	:
11	instantiation	19, 20, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_4
13	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
14	instantiation	40, 32, 22	⊢
	: , : , :
15	instantiation	23, 24	⊢
	:
16	instantiation	40, 38, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	instantiation	26, 28	⊢
	:
21	instantiation	27, 28, 29	⊢
	: , :
22	instantiation	40, 35, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
25	instantiation	40, 41, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.elim_zero_right
27	theorem		⊢
	proveit.numbers.addition.commutation
28	instantiation	40, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
30	instantiation	40, 38, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	40, 35, 36	⊢
	: , : , :
34	instantiation	40, 41, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	40, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
*equality replacement requirements