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