Metamath Proof Explorer
Description: The scalar product of a monoid ring. (Contributed by Rohan Ridenour, 14-May-2024)
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Ref |
Expression |
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Hypotheses |
mnringvscad.1 |
No typesetting found for |- F = ( R MndRing M ) with typecode |- |
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mnringvscad.2 |
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mnringvscad.3 |
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mnringvscad.4 |
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mnringvscad.5 |
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Assertion |
mnringvscad |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
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mnringvscad.1 |
Could not format F = ( R MndRing M ) : No typesetting found for |- F = ( R MndRing M ) with typecode |- |
2 |
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mnringvscad.2 |
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3 |
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mnringvscad.3 |
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4 |
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mnringvscad.4 |
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5 |
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mnringvscad.5 |
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6 |
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df-vsca |
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7 |
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6nn |
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8 |
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3re |
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9 |
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3lt6 |
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10 |
8 9
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gtneii |
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11 |
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mulrndx |
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12 |
10 11
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neeqtrri |
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13 |
1 6 7 12 2 3 4 5
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mnringnmulrd |
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