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