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.logic.booleans.conjunction.and_if_both
2	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
3	instantiation	4, 33, 11, 5, 6, 7*, 8*	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	40, 36, 9	⊢
	: , : , :
6	instantiation	10, 11, 12, 33, 13, 14	⊢
	: , : , :
7	instantiation	15, 16, 17	⊢
	: , : , :
8	instantiation	18, 19, 20	⊢
	: , : , :
9	instantiation	40, 38, 21	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.less_add_right
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	40, 36, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
14	instantiation	23, 42	⊢
	:
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	24, 26	⊢
	:
17	instantiation	25, 26, 27	⊢
	: , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
21	instantiation	40, 41, 30	⊢
	: , : , :
22	instantiation	40, 38, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
24	theorem		⊢
	proveit.numbers.addition.elim_zero_right
25	theorem		⊢
	proveit.numbers.addition.commutation
26	instantiation	40, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
28	axiom		⊢
	proveit.logic.equality.substitution
29	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
30	instantiation	34, 35, 42	⊢
	: , :
31	instantiation	40, 41, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	40, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	40, 38, 39	⊢
	: , : , :
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.nat2
*equality replacement requirements