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, 5	, ⊢
	: , :
3	modus ponens	6, 7	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8, 9, 10	, ⊢
	: , :
6	instantiation	11, 29, 12, 13	⊢
	: , : , : , : , : , :
7	generalization	14	⊢
8	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
9	assumption		⊢
10	assumption		⊢
11	theorem		⊢
	proveit.numbers.multiplication.distribute_through_summation
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
16	instantiation	27, 19, 18	⊢
	: , : , :
17	instantiation	27, 19, 20	⊢
	: , : , :
18	instantiation	27, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	27, 22, 23	⊢
	: , : , :
21	instantiation	27, 25, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	27, 25, 26	⊢
	: , : , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1