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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 41, 37, 4, 7, 8, 9, 10, 11, 12	, , , ⊢
	: , : , : , : , : , : , :
3	instantiation	5, 37, 41, 6, 7, 8, 9, 10, 11, 12	, , , ⊢
	: , : , : , : , : , : , :
4	instantiation	13	⊢
	: , : , : , :
5	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
6	instantiation	13	⊢
	: , : , : , :
7	instantiation	42, 29, 14	⊢
	: , : , :
8	instantiation	42, 29, 15	⊢
	: , : , :
9	instantiation	42, 29, 16	⊢
	: , : , :
10	instantiation	42, 29, 17	⊢
	: , : , :
11	instantiation	18, 19, 20, 21	⊢
	: , :
12	instantiation	42, 29, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
14	instantiation	42, 26, 23	⊢
	: , : , :
15	instantiation	42, 26, 24	⊢
	: , : , :
16	instantiation	42, 35, 25	⊢
	: , : , :
17	instantiation	42, 26, 27	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	42, 29, 28	⊢
	: , : , :
20	instantiation	42, 29, 30	⊢
	: , : , :
21	instantiation	31, 32	⊢
	:
22	assumption		⊢
23	assumption		⊢
24	assumption		⊢
25	instantiation	42, 39, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
27	assumption		⊢
28	instantiation	42, 35, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	42, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
33	instantiation	42, 43, 37	⊢
	: , : , :
34	instantiation	42, 39, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	42, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
38	instantiation	42, 43, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat3