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, 5	, ⊢
	: , : , :
3	instantiation	6, 7	, , , , , ⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 31, 16	, ⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	9, 10, 21, 11, 12, 13^*	, , , , , ⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.commutation
9	theorem		⊢
	proveit.numbers.division.prod_of_fracs
10	instantiation	34, 14, 15	⊢
	: , : , :
11	instantiation	18, 16, 17	, ⊢
	:
12	instantiation	18, 31, 19	, ⊢
	:
13	instantiation	20, 21	, , ⊢
	:
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	34, 22, 23	⊢
	: , : , :
16	assumption		⊢
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
21	instantiation	24, 25, 32	, , ⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	34, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
25	instantiation	28, 29, 30, 31, 32, 33	, , ⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	34, 35, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.add_complex_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
30	instantiation	37	⊢
	: , : , :
31	assumption		⊢
32	assumption		⊢
33	assumption		⊢
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
^*equality replacement requirements