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