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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.core_expr_types.tuples.partition_back
4	instantiation	6, 31, 7	⊢
	: , :
5	instantiation	8, 9, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
7	instantiation	12, 13, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
9	instantiation	29, 16, 15	⊢
	: , : , :
10	instantiation	29, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
12	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
13	instantiation	18, 19	⊢
	: , :
14	instantiation	20, 21	⊢
	: , :
15	instantiation	29, 23, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	29, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
20	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
21	theorem		⊢
	proveit.numbers.negation.negated_zero
22	instantiation	29, 26, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	29, 26, 27	⊢
	: , : , :
25	instantiation	29, 30, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	29, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2