Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOC
2	reference	34	⊢
3	instantiation	44, 38, 6	⊢
	: , : , :
4	instantiation	44, 38, 7	⊢
	: , : , :
5	instantiation	8, 9, 10	⊢
	: , :
6	instantiation	44, 41, 11	⊢
	: , : , :
7	instantiation	44, 41, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
9	instantiation	13, 34, 14, 36, 15, 16^, 17^	⊢
	: , : , :
10	instantiation	18, 19	⊢
	: , :
11	instantiation	44, 45, 20	⊢
	: , : , :
12	instantiation	44, 45, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	22, 23	⊢
	:
16	instantiation	26, 24, 25	⊢
	: , : , :
17	instantiation	26, 27, 28	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.ordering.relax_less
19	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
24	instantiation	29, 32	⊢
	:
25	instantiation	31, 32, 30	⊢
	: , :
26	theorem		⊢
	proveit.logic.equality.sub_right_side_into
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
28	instantiation	31, 32, 33	⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.elim_zero_right
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
31	theorem		⊢
	proveit.numbers.addition.commutation
32	instantiation	44, 35, 34	⊢
	: , : , :
33	instantiation	44, 35, 36	⊢
	: , : , :
34	instantiation	44, 38, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	44, 38, 39	⊢
	: , : , :
37	instantiation	44, 41, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	44, 41, 42	⊢
	: , : , :
40	instantiation	44, 45, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	44, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements