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	, , , , ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 14, 23, 4, 5, 6^, 7^	, , , , ⊢
	: , : , : , :
3	theorem		⊢
	proveit.numbers.division.prod_of_fracs
4	instantiation	27, 8, 9	⊢
	: , : , :
5	instantiation	10, 11, 12	, , , ⊢
	: , :
6	instantiation	13, 14	⊢
	:
7	instantiation	15, 16	, ⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	27, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.mult_complex_nonzero_closure_bin
11	instantiation	20, 23, 19	, ⊢
	:
12	instantiation	20, 24, 21	, ⊢
	:
13	theorem		⊢
	proveit.numbers.division.frac_one_denom
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
16	instantiation	22, 23, 24	, ⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18	instantiation	27, 25, 26	⊢
	: , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
23	assumption		⊢
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
^*equality replacement requirements