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