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Mirrors > Home > ILE Home > Th. List > simpl2im | Unicode version |
Description: Implication from an eliminated conjunct implied by the antecedent. (Contributed by BJ/AV, 5-Apr-2021.) |
Ref | Expression |
---|---|
simpl2im.1 |
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simpl2im.2 |
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Ref | Expression |
---|---|
simpl2im |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl2im.1 |
. 2
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2 | simpr 109 |
. 2
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3 | simpl2im.2 |
. 2
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4 | 1, 2, 3 | 3syl 17 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 106 |
This theorem is referenced by: ctssdccl 7004 enumct 7008 djuen 7084 ndvdssub 11663 xmeteq0 12567 xmettri2 12569 metcnpi 12723 metcnpi2 12724 dvbssntrcntop 12861 |
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