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.booleans.negation.negation_elim
2	instantiation	3, 4	⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.unfold_not_equals
4	instantiation	5, 30, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
7	instantiation	8, 23, 9, 10, 11^, 12^	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	13, 14	⊢
	:
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	18, 20	⊢
	:
17	instantiation	19, 20, 21	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.elim_zero_right
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	28, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	28, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	28, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements