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^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.division.prod_of_fracs
2	instantiation	47, 30, 7	⊢
	: , : , :
3	instantiation	47, 30, 8	⊢
	: , : , :
4	reference	19	⊢
5	reference	20	⊢
6	instantiation	9, 10, 11	⊢
	: , : , :
7	instantiation	47, 37, 12	⊢
	: , : , :
8	instantiation	47, 37, 13	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	14, 32, 15, 16, 17, 23	⊢
	: , : , : , :
11	instantiation	18, 19, 20, 21, 22^, 23^	⊢
	: , : , :
12	instantiation	47, 42, 24	⊢
	: , : , :
13	instantiation	47, 42, 25	⊢
	: , : , :
14	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
15	instantiation	26	⊢
	: , :
16	instantiation	26	⊢
	: , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_6
18	theorem		⊢
	proveit.numbers.division.frac_cancel_left
19	instantiation	47, 28, 27	⊢
	: , : , :
20	instantiation	47, 28, 29	⊢
	: , : , :
21	instantiation	47, 30, 31	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_4
23	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_5
24	instantiation	47, 48, 32	⊢
	: , : , :
25	instantiation	47, 48, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	47, 35, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29	instantiation	47, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	47, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
34	instantiation	47, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
36	instantiation	47, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	47, 42, 43	⊢
	: , : , :
39	instantiation	47, 45, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
41	instantiation	47, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	47, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
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.nat4
^*equality replacement requirements