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^	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.division.prod_of_fracs
2	reference	34	⊢
3	reference	22	⊢
4	instantiation	56, 30, 8	⊢
	: , : , :
5	instantiation	56, 30, 9	⊢
	: , : , :
6	instantiation	10, 34	⊢
	:
7	instantiation	11, 12, 13	⊢
	: , : , :
8	instantiation	56, 38, 14	⊢
	: , : , :
9	instantiation	56, 38, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.frac_one_denom
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	16, 58, 17, 18, 23, 19	⊢
	: , : , : , :
13	instantiation	20, 21, 22, 23^, 24^	⊢
	: , : , :
14	instantiation	56, 44, 25	⊢
	: , : , :
15	instantiation	56, 44, 26	⊢
	: , : , :
16	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
17	instantiation	27	⊢
	: , :
18	instantiation	27	⊢
	: , :
19	instantiation	28, 29	⊢
	:
20	theorem		⊢
	proveit.numbers.division.frac_cancel_left
21	instantiation	56, 30, 31	⊢
	: , : , :
22	instantiation	56, 41, 32	⊢
	: , : , :
23	instantiation	33, 34	⊢
	:
24	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
25	instantiation	56, 50, 35	⊢
	: , : , :
26	instantiation	56, 50, 36	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
29	instantiation	56, 41, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
31	instantiation	56, 38, 39	⊢
	: , : , :
32	instantiation	56, 47, 40	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
34	instantiation	56, 41, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
37	instantiation	56, 47, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
39	instantiation	56, 44, 45	⊢
	: , : , :
40	instantiation	56, 53, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	56, 47, 48	⊢
	: , : , :
43	instantiation	56, 53, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
45	instantiation	56, 50, 51	⊢
	: , : , :
46	instantiation	56, 57, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	56, 53, 54	⊢
	: , : , :
49	instantiation	56, 57, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	56, 57, 58	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements