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Description: A cancellation law for division. (Contributed by SN, 25-Nov-2025)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | redivcan2d.a | ||
| redivcan2d.b | |||
| redivcan2d.z | |||
| Assertion | redivcan2d | Could not format assertion : No typesetting found for |- ( ph -> ( B x. ( A /R B ) ) = A ) with typecode |- |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | redivcan2d.a | ||
| 2 | redivcan2d.b | ||
| 3 | redivcan2d.z | ||
| 4 | eqidd | Could not format ( ph -> ( A /R B ) = ( A /R B ) ) : No typesetting found for |- ( ph -> ( A /R B ) = ( A /R B ) ) with typecode |- | |
| 5 | 1 2 3 | sn-redivcld | Could not format ( ph -> ( A /R B ) e. RR ) : No typesetting found for |- ( ph -> ( A /R B ) e. RR ) with typecode |- |
| 6 | 1 5 2 3 | redivmuld | Could not format ( ph -> ( ( A /R B ) = ( A /R B ) <-> ( B x. ( A /R B ) ) = A ) ) : No typesetting found for |- ( ph -> ( ( A /R B ) = ( A /R B ) <-> ( B x. ( A /R B ) ) = A ) ) with typecode |- |
| 7 | 4 6 | mpbid | Could not format ( ph -> ( B x. ( A /R B ) ) = A ) : No typesetting found for |- ( ph -> ( B x. ( A /R B ) ) = A ) with typecode |- |