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^, 6^	, ⊢
	: , : , : , :
1	axiom		⊢
	proveit.numbers.summation.sum_split_last
2	reference	36	⊢
3	reference	42	⊢
4	instantiation	7, 8, 16	, ⊢
	: , : , :
5	instantiation	12, 9, 10, 15, 11	⊢
	: , : , :
6	instantiation	12, 13, 14, 15, 16	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.sub_right_side_into
8	instantiation	17, 18, 23, 24, 19, 20	, ⊢
	: , : , :
9	instantiation	47, 25, 21	⊢
	: , : , :
10	instantiation	47, 25, 22	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
12	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
13	instantiation	47, 25, 23	⊢
	: , : , :
14	instantiation	47, 25, 24	⊢
	: , : , :
15	instantiation	47, 25, 26	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_2
17	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
18	instantiation	47, 34, 27	⊢
	: , : , :
19	assumption		⊢
20	instantiation	28, 29	⊢
	:
21	instantiation	47, 34, 30	⊢
	: , : , :
22	instantiation	47, 34, 31	⊢
	: , : , :
23	instantiation	47, 34, 32	⊢
	: , : , :
24	instantiation	47, 34, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	47, 34, 35	⊢
	: , : , :
27	instantiation	47, 41, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	instantiation	47, 41, 37	⊢
	: , : , :
31	instantiation	47, 41, 38	⊢
	: , : , :
32	instantiation	47, 41, 39	⊢
	: , : , :
33	instantiation	47, 41, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	47, 41, 42	⊢
	: , : , :
36	assumption		⊢
37	instantiation	47, 48, 43	⊢
	: , : , :
38	instantiation	47, 48, 44	⊢
	: , : , :
39	instantiation	47, 48, 45	⊢
	: , : , :
40	instantiation	47, 48, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	47, 48, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
^*equality replacement requirements