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	modus ponens	8, 9	⊢
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	10, 11, 17	⊢
	: , :
8	instantiation	12, 20	⊢
	: , : , : , : , : , : , :
9	generalization	13	⊢
10	modus ponens	14, 15	⊢
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
13	instantiation	16, 17, 21	, ⊢
	: , :
14	instantiation	18, 19, 20, 36	⊢
	: , : , : , : , : , :
15	generalization	21	⊢
16	theorem		⊢
	proveit.numbers.multiplication.commutation
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.multiplication.distribute_through_summation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
21	instantiation	22, 23, 24	⊢
	: , :
22	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
23	instantiation	34, 26, 25	⊢
	: , : , :
24	instantiation	34, 26, 27	⊢
	: , : , :
25	instantiation	34, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	34, 29, 30	⊢
	: , : , :
28	instantiation	34, 32, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	34, 32, 33	⊢
	: , : , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
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