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	⊢
	: , : , :
1	reference	13	⊢
2	instantiation	19, 47, 4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	8, 9, 10, 29, 11^, 12^	⊢
	: , : , :
4	instantiation	27	⊢
	: , :
5	instantiation	27	⊢
	: , :
6	instantiation	13, 14, 15	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.mult_6_2
8	theorem		⊢
	proveit.numbers.division.frac_cancel_left
9	instantiation	48, 17, 16	⊢
	: , : , :
10	instantiation	48, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_2
12	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_3
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	19, 47, 20, 21, 22, 23	⊢
	: , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_6
16	instantiation	48, 25, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
18	instantiation	48, 25, 26	⊢
	: , : , :
19	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
20	instantiation	27	⊢
	: , :
21	instantiation	27	⊢
	: , :
22	instantiation	28, 29	⊢
	:
23	instantiation	30, 31	⊢
	:
24	instantiation	48, 33, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
26	instantiation	48, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
29	instantiation	48, 36, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
31	instantiation	48, 36, 37	⊢
	: , : , :
32	instantiation	48, 39, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
34	instantiation	48, 39, 40	⊢
	: , : , :
35	instantiation	48, 42, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	48, 42, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
41	instantiation	48, 45, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	48, 45, 46	⊢
	: , : , :
44	instantiation	48, 49, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	48, 49, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
^*equality replacement requirements