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