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	14	⊢
2	instantiation	23, 52, 4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	8, 9, 10, 34, 11^, 12^, 13^*	⊢
	: , : , :
4	instantiation	32	⊢
	: , :
5	instantiation	32	⊢
	: , :
6	instantiation	14, 15, 16	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
8	theorem		⊢
	proveit.numbers.division.frac_cancel_left
9	instantiation	50, 18, 17	⊢
	: , : , :
10	instantiation	50, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_2
12	instantiation	20, 21	⊢
	:
13	instantiation	22, 34	⊢
	:
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	23, 52, 24, 25, 26, 27	⊢
	: , : , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_6
17	instantiation	50, 29, 28	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
19	instantiation	50, 29, 30	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
21	instantiation	50, 39, 31	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.frac_one_denom
23	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
24	instantiation	32	⊢
	: , :
25	instantiation	32	⊢
	: , :
26	instantiation	33, 34	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_3
28	instantiation	50, 36, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
30	instantiation	50, 36, 37	⊢
	: , : , :
31	instantiation	50, 45, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
34	instantiation	50, 39, 40	⊢
	: , : , :
35	instantiation	50, 42, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
37	instantiation	50, 42, 43	⊢
	: , : , :
38	instantiation	50, 48, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	50, 45, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
44	instantiation	50, 51, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	50, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	50, 51, 52	⊢
	: , : , :
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.nat2
^*equality replacement requirements