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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 | |
simpl2im.2 |
Ref | Expression |
---|---|
simpl2im |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl2im.1 | . 2 | |
2 | simpr 109 | . 2 | |
3 | simpl2im.2 | . 2 | |
4 | 1, 2, 3 | 3syl 17 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 106 |
This theorem is referenced by: ctssdccl 7086 enumct 7090 djuen 7181 ndvdssub 11882 sgrpidmndm 12649 xmeteq0 13118 xmettri2 13120 metcnpi 13274 metcnpi2 13275 dvbssntrcntop 13412 |
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