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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 31, 5, 6, 7	, , ⊢
	: , : , : , : , :
3	instantiation	8, 9, 10	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
5	instantiation	39, 40, 11	⊢
	: , : , :
6	instantiation	12, 33, 13	, ⊢
	:
7	instantiation	39, 14, 15	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	24, 16	, ⊢
	: , : , :
10	instantiation	24, 17	⊢
	: , : , :
11	instantiation	39, 18, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
15	instantiation	39, 20, 21	⊢
	: , : , :
16	instantiation	22, 23	, ⊢
	:
17	instantiation	24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	39, 26, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
21	instantiation	39, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.frac_one_denom
23	instantiation	30, 31, 33	, ⊢
	: , :
24	axiom		⊢
	proveit.logic.equality.substitution
25	instantiation	32, 33	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	39, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
29	instantiation	39, 36, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
31	instantiation	39, 40, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
33	instantiation	39, 40, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
38	assumption		⊢
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	assumption		⊢