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