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Mirrors > Home > NFE Home > Th. List > pm5.1im | Unicode version |
Description: Two propositions are
equivalent if they are both true. Closed form of
2th 230. Equivalent to a bi1 178-like version of the xor-connective. This
theorem stays true, no matter how you permute its operands. This is
evident from its sharper version ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
pm5.1im |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 6 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | ax-1 6 |
. 2
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3 | 1, 2 | impbid21d 182 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: 2thd 231 pm5.501 330 |
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