Metamath Proof Explorer
Description: Congruence rule for lines. Theorem 4.17 of Schwabhauser p. 37.
(Contributed by Thierry Arnoux, 28-Apr-2019)
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Ref |
Expression |
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Hypotheses |
tglngval.p |
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tglngval.l |
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tglngval.i |
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tglngval.g |
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tglngval.x |
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tglngval.y |
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tgcolg.z |
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lnxfr.r |
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lnxfr.a |
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lnxfr.b |
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lnxfr.d |
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lncgr.1 |
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lncgr.2 |
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lncgr.3 |
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lncgr.4 |
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Assertion |
lncgr |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
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tglngval.p |
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2 |
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tglngval.l |
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3 |
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tglngval.i |
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4 |
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tglngval.g |
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5 |
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tglngval.x |
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6 |
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tglngval.y |
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7 |
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tgcolg.z |
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8 |
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lnxfr.r |
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9 |
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lnxfr.a |
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10 |
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lnxfr.b |
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11 |
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lnxfr.d |
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12 |
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lncgr.1 |
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13 |
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lncgr.2 |
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14 |
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lncgr.3 |
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15 |
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lncgr.4 |
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16 |
1 11 3 8 4 5 6 7
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cgr3id |
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17 |
1 2 3 4 5 6 7 8 5 6 11 9 7 10 13 16 14 15 12
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tgfscgr |
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