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	modus ponens	1, 2	, ⊢
1	instantiation	3, 4	⊢
	: , : , : , : , : , : , :
2	generalization	5	, ⊢
3	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 8	, , ⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 10, 11, 35, 12, 13, 19, 20, 16	, , ⊢
	: , : , : , : , : , :
8	instantiation	14, 15, 16	, , ⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.association
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	17	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.commutation
15	instantiation	18, 19, 20	, ⊢
	: , :
16	instantiation	21, 22, 23	⊢
	: , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
19	assumption		⊢
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
22	instantiation	33, 25, 24	⊢
	: , : , :
23	instantiation	33, 25, 26	⊢
	: , : , :
24	instantiation	33, 28, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	33, 28, 29	⊢
	: , : , :
27	instantiation	33, 31, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	33, 31, 32	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1