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