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	, , , ⊢
	: , :
1	reference	29	⊢
2	instantiation	29, 4, 5	⊢
	: , :
3	instantiation	6, 7, 8	, , ⊢
	: , : , :
4	instantiation	9, 10, 11, 12	⊢
	: , :
5	instantiation	13, 14, 15	⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	29, 16, 22	, , ⊢
	: , :
8	instantiation	17, 18, 53, 19, 20, 21, 30, 31, 22	, , ⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.division.div_complex_closure
10	instantiation	51, 40, 23	⊢
	: , : , :
11	instantiation	51, 40, 24	⊢
	: , : , :
12	instantiation	25, 26	⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	51, 40, 27	⊢
	: , : , :
15	instantiation	51, 40, 28	⊢
	: , : , :
16	instantiation	29, 30, 31	, ⊢
	: , :
17	theorem		⊢
	proveit.numbers.multiplication.disassociation
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	32	⊢
	: , :
22	instantiation	51, 40, 33	⊢
	: , : , :
23	instantiation	51, 37, 34	⊢
	: , : , :
24	instantiation	51, 37, 35	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
27	instantiation	51, 47, 36	⊢
	: , : , :
28	instantiation	51, 37, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
30	instantiation	51, 40, 39	⊢
	: , : , :
31	instantiation	51, 40, 41	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	assumption		⊢
34	instantiation	51, 44, 42	⊢
	: , : , :
35	instantiation	51, 44, 43	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	51, 44, 45	⊢
	: , : , :
39	instantiation	51, 47, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	51, 47, 48	⊢
	: , : , :
42	instantiation	51, 52, 49	⊢
	: , : , :
43	instantiation	51, 52, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	51, 52, 53	⊢
	: , : , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
48	assumption		⊢
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2