modus ponens

if X implies Y, and X is true, then Y is true
rdfs:label
"modus ponens"@en
skos:altLabel
"MP"@en
"affirming the antecedent"@en
"implication elimination"@en
"modus ponendo ponens"@en
schema:description
"if X implies Y, and X is true, then Y is true"@en
schema:dateModified "2026-09-17T10:48:31+00:00"^^xsd:dateTime
schema:version 2546989225
wikibase:identifiers 16
wikibase:sitelinks 31
wikibase:statements 25
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wdt:P10017 "modus-ponens"
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wdt:P10376 "mathematics/modus-ponens"
wdt:P10565 "106646"
wdt:P11514 "modus-ponens-ee5dac"
wdt:P12888 "ax-mp"
wdt:P1343 Mathwords
wdt:P1417 "topic/modus-ponens"
wdt:P14541 "Ao3eG"
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"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo stretchy="false" accent="false">&#x2192;</mo><mi>Q</mi><mo>,</mo><mspace width="0.278em"></mspace><mi>P</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">&#x2234;</mo><mi>Q</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2577 intuitionistic logic
classical logic
minimal logic
wdt:P279 cut rule
wdt:P2812 "ModusPonens"
wdt:P31 rule of inference
wdt:P3417 "Modus-Ponens"
wdt:P4215 "modus ponens"
wdt:P6104 WikiProject Mathematics
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wdt:P646 "/m/04s21"
wdt:P7554 "Modus_ponens"
wdt:P8313 "modus_ponens"
wdt:P9621 "modus-ponens"
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