Nuprl Lemma : mon_nat_op_zero
∀[g:IMonoid]. ∀[e:|g|]. ((0 ⋅ e) = e ∈ |g|)
Proof
Definitions occuring in Statement :
mon_nat_op: n ⋅ e,
imon: IMonoid,
grp_id: e,
grp_car: |g|,
uall: ∀[x:A]. B[x],
natural_number: $n,
equal: s = t ∈ T
Definitions unfolded in proof :
mon_nat_op: n ⋅ e
Lemmas referenced :
nat_op_zero
Rules used in proof :
cut,
lemma_by_obid,
sqequalHypSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[g:IMonoid]. \mforall{}[e:|g|]. ((0 \mcdot{} e) = e)
Date html generated:
2016_05_15-PM-00_16_33
Last ObjectModification:
2015_12_26-PM-11_39_21
Theory : groups_1
Home
Index