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.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	43	⊢
4	reference	49	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , : , :
7	instantiation	19, 12, 20, 13	⊢
	: , :
8	assumption		⊢
9	assumption		⊢
10	instantiation	14, 15, 16	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	47, 31, 17	⊢
	: , : , :
13	instantiation	29, 18	⊢
	:
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	instantiation	19, 20, 21, 22	⊢
	: , :
16	instantiation	23, 24, 25	⊢
	: , :
17	instantiation	47, 41, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	47, 31, 27	⊢
	: , : , :
21	instantiation	47, 31, 28	⊢
	: , : , :
22	instantiation	29, 30	⊢
	:
23	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
24	assumption		⊢
25	instantiation	47, 31, 32	⊢
	: , : , :
26	instantiation	47, 45, 33	⊢
	: , : , :
27	instantiation	47, 41, 34	⊢
	: , : , :
28	instantiation	47, 41, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	36, 37	⊢
	:
33	instantiation	47, 48, 38	⊢
	: , : , :
34	instantiation	47, 45, 39	⊢
	: , : , :
35	instantiation	47, 45, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.negation.real_closure
37	instantiation	47, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
39	instantiation	47, 48, 43	⊢
	: , : , :
40	instantiation	47, 48, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	47, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1