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