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