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	reference	4	⊢
2	instantiation	4, 5, 6	, , , , , ⊢
	: , : , :
3	instantiation	12, 13, 20, 15, 7, 14, 26, 38, 17, 18	, , , ⊢
	: , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	8, 16, 9, 10, 11^*	, , , , , ⊢
	: , :
6	instantiation	12, 51, 20, 13, 14, 15, 16, 17, 18	, , , ⊢
	: , : , : , : , : , :
7	instantiation	29	⊢
	: , :
8	theorem		⊢
	proveit.numbers.division.div_as_mult
9	instantiation	25, 37, 32	, ⊢
	: , :
10	instantiation	19, 20, 21, 22, 23	, , , ⊢
	: , :
11	instantiation	24, 37, 32, 41, 30, 33	, , , ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.disassociation
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	29	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	25, 26, 38	, , ⊢
	: , :
17	instantiation	27, 37, 28	⊢
	: , :
18	instantiation	27, 32, 28	⊢
	: , :
19	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	instantiation	29	⊢
	: , :
22	instantiation	31, 37, 30	, ⊢
	:
23	instantiation	31, 32, 33	, ⊢
	:
24	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
25	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
26	instantiation	34, 35, 36, 37, 38, 39	, , ⊢
	: , :
27	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
28	instantiation	49, 40, 41	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
32	assumption		⊢
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.addition.add_complex_closure
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
36	instantiation	42	⊢
	: , : , :
37	assumption		⊢
38	assumption		⊢
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	43, 44	⊢
	:
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
43	theorem		⊢
	proveit.numbers.negation.real_closure
44	instantiation	49, 45, 46	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	49, 47, 48	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements