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, 7, 8, 9, 10	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	39	⊢
3	reference	46	⊢
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	assumption		⊢
7	assumption		⊢
8	instantiation	14, 16, 12, 13	⊢
	: , :
9	instantiation	14, 15, 16, 17	⊢
	: , :
10	instantiation	18, 19, 20	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	44, 27, 21	⊢
	: , : , :
13	instantiation	25, 22	⊢
	:
14	theorem		⊢
	proveit.numbers.division.div_complex_closure
15	instantiation	44, 27, 23	⊢
	: , : , :
16	instantiation	44, 27, 24	⊢
	: , : , :
17	instantiation	25, 26	⊢
	:
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	assumption		⊢
20	instantiation	44, 27, 28	⊢
	: , : , :
21	instantiation	44, 37, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	instantiation	44, 37, 30	⊢
	: , : , :
24	instantiation	44, 37, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	32, 33	⊢
	:
29	instantiation	44, 42, 34	⊢
	: , : , :
30	instantiation	44, 42, 35	⊢
	: , : , :
31	instantiation	44, 42, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	instantiation	44, 37, 38	⊢
	: , : , :
34	instantiation	44, 45, 39	⊢
	: , : , :
35	instantiation	44, 45, 40	⊢
	: , : , :
36	instantiation	44, 45, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	44, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
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.nat1