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	reference	26	⊢
3	instantiation	50, 32, 7	⊢
	: , : , :
4	reference	19	⊢
5	reference	18	⊢
6	instantiation	8, 9, 10	⊢
	: , : , :
7	instantiation	50, 38, 11	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	12, 49, 13, 14, 15, 16	⊢
	: , : , : , :
10	instantiation	17, 18, 19, 20, 21^, 22^	⊢
	: , : , :
11	instantiation	50, 44, 23	⊢
	: , : , :
12	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
13	instantiation	24	⊢
	: , :
14	instantiation	24	⊢
	: , :
15	instantiation	25, 26	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_2
17	theorem		⊢
	proveit.numbers.division.frac_cancel_left
18	instantiation	50, 28, 27	⊢
	: , : , :
19	instantiation	50, 28, 29	⊢
	: , : , :
20	instantiation	50, 32, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
22	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_3
23	instantiation	50, 51, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
26	instantiation	50, 32, 33	⊢
	: , : , :
27	instantiation	50, 35, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29	instantiation	50, 35, 36	⊢
	: , : , :
30	instantiation	50, 38, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	50, 38, 39	⊢
	: , : , :
34	instantiation	50, 41, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
36	instantiation	50, 41, 42	⊢
	: , : , :
37	instantiation	50, 44, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	50, 44, 45	⊢
	: , : , :
40	instantiation	50, 47, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
42	instantiation	50, 47, 48	⊢
	: , : , :
43	instantiation	50, 51, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	50, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements