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, 37, 4, 5, 6^*	, , , , ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.division.frac_cancel_left
4	assumption		⊢
5	instantiation	7, 26, 8	, , ⊢
	: , :
6	instantiation	16, 9, 10	, ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
8	instantiation	11, 12, 13	, ⊢
	: , :
9	instantiation	14, 23, 22, 21, 15, 24, 34, 26	, ⊢
	: , : , : , : , : , :
10	instantiation	16, 17, 18	, ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
12	assumption		⊢
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	instantiation	28	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	19, 23, 21, 24, 34, 26	, ⊢
	: , : , : , : , : , : , :
18	instantiation	20, 21, 22, 23, 24, 25, 34, 26, 27^*	, ⊢
	: , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
20	theorem		⊢
	proveit.numbers.multiplication.association
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	28	⊢
	: , :
26	assumption		⊢
27	instantiation	29, 34, 30, 31^, 32^	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	instantiation	33, 34	⊢
	:
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
33	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.complex_nonzero_within_complex
37	assumption		⊢
^*equality replacement requirements