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	, , , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	reference	36	⊢
4	instantiation	9	⊢
	: , :
5	instantiation	40, 41, 20	⊢
	: , : , :
6	instantiation	40, 41, 10	⊢
	: , : , :
7	instantiation	40, 41, 11	⊢
	: , : , :
8	instantiation	40, 41, 12	, ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	instantiation	40, 14, 13	⊢
	: , : , :
11	instantiation	40, 14, 15	⊢
	: , : , :
12	instantiation	16, 17	, ⊢
	:
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
15	assumption		⊢
16	theorem		⊢
	proveit.trigonometry.real_closure
17	instantiation	18, 19, 20, 21	, ⊢
	: , :
18	theorem		⊢
	proveit.numbers.division.div_real_closure
19	instantiation	40, 22, 23	, ⊢
	: , : , :
20	instantiation	40, 24, 25	⊢
	: , : , :
21	instantiation	26, 27	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
23	instantiation	28, 29	, ⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	40, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
29	instantiation	32, 33, 34	, ⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	40, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
33	instantiation	40, 41, 37	⊢
	: , : , :
34	instantiation	38, 39	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.negation.complex_closure
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	assumption		⊢