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, 4, 5^*	, , , , ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.frac_cancel_right
2	reference	33	⊢
3	assumption		⊢
4	instantiation	6, 22, 7	, , ⊢
	: , :
5	instantiation	8, 9, 10	, ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
7	instantiation	11, 12, 13	, ⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	14, 19, 18, 17, 21, 15, 22, 30	, ⊢
	: , : , : , : , : , :
10	instantiation	16, 17, 18, 19, 20, 21, 22, 30, 23^*	, ⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
12	assumption		⊢
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	instantiation	24	⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.association
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	instantiation	24	⊢
	: , :
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	assumption		⊢
23	instantiation	25, 30, 26, 27^, 28^	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
27	instantiation	29, 30	⊢
	:
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
29	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.complex_nonzero_within_complex
33	assumption		⊢
^*equality replacement requirements