Metamath Proof Explorer


Theorem rerecid2

Description: Multiplication of a number and its reciprocal. (Contributed by SN, 25-Nov-2025)

Ref Expression
Hypotheses sn-rereccld.a φ A
sn-rereccld.z φ A 0
Assertion rerecid2 Could not format assertion : No typesetting found for |- ( ph -> ( ( 1 /R A ) x. A ) = 1 ) with typecode |-

Proof

Step Hyp Ref Expression
1 sn-rereccld.a φ A
2 sn-rereccld.z φ A 0
3 1 2 sn-rereccld Could not format ( ph -> ( 1 /R A ) e. RR ) : No typesetting found for |- ( ph -> ( 1 /R A ) e. RR ) with typecode |-
4 1 2 rerecid Could not format ( ph -> ( A x. ( 1 /R A ) ) = 1 ) : No typesetting found for |- ( ph -> ( A x. ( 1 /R A ) ) = 1 ) with typecode |-
5 1 3 4 remulinvcom Could not format ( ph -> ( ( 1 /R A ) x. A ) = 1 ) : No typesetting found for |- ( ph -> ( ( 1 /R A ) x. A ) = 1 ) with typecode |-