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*From*: Stephan Merz <stephan.merz@xxxxxxxxx>*Date*: Wed, 30 Nov 2022 10:04:32 +0100*References*: <904caba2-762e-49a2-bea5-1dc6a3506929n@googlegroups.com>

Hi, could you explain why you are surprised? The theorem holds for two reasons: (i) the assertion (TRUE) is trivial, and (ii) the assumptions are contradictory, as you say. From contradictory assumptions, anything can be proved, and in fact the following also passes: THEOREM ASSUME NEW P(_), \A p : P(p), \A p : ~P(p) PROVE FALSE OBVIOUS Regards, Stephan
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**Follow-Ups**:**Re: [tlaplus] Simple contradiction proof***From:*jack malkovick

**References**:**[tlaplus] Simple contradiction proof***From:*jack malkovick

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