pm4.52im - Intuitionistic Logic Explorer

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Theorem pm4.52im 802

Description: One direction of theorem *4.52 of [WhiteheadRussell] p. 120. The converse also holds in classical logic. (Contributed by Jim Kingdon, 27-Jul-2018.)

**Assertion**
Ref	Expression
pm4.52im	$/\$ $\/$

**Proof of Theorem pm4.52im**
Step	Hyp	Ref	Expression
1		annimim 781	. 2 $/\$
2		imorr 796	. 2 $\/$
3	1, 2	nsyl 558	1 $/\$ $\/$

Colors of variables: wff set class

Syntax hints:

wn 3

wi 4 $/\$ wa 97 $\/$ wo 628

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-io 629

This theorem depends on definitions: df-bi 110

This theorem is referenced by: pm4.53r 803

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