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