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, 4, 5, 6, 7^*	⊢
	: , : , : , : , : , :
1	reference	11	⊢
2	reference	12	⊢
3	reference	37	⊢
4	reference	14	⊢
5	instantiation	19	⊢
	: , :
6	reference	17	⊢
7	instantiation	23, 8, 9	⊢
	: , : , :
8	instantiation	29, 10	⊢
	: , : , :
9	instantiation	11, 12, 37, 13, 14, 15, 16, 17, 18^*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
11	theorem		⊢
	proveit.numbers.multiplication.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	19	⊢
	: , :
16	instantiation	35, 21, 20	⊢
	: , : , :
17	instantiation	35, 21, 22	⊢
	: , : , :
18	instantiation	23, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	35, 27, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	35, 27, 28	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.mult_8_2
26	instantiation	35, 32, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	35, 32, 33	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.substitution
30	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_2
31	instantiation	35, 36, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	35, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements