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, 6	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
6	instantiation	7, 32, 8, 9	⊢
	: , :
7	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
9	instantiation	10, 25, 11, 12, 13^, 14^	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	15, 16	⊢
	:
13	instantiation	17, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	20, 22	⊢
	:
19	instantiation	21, 22, 23	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.elim_zero_right
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	30, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	30, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements