`∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[r:CRng].  (fps-add-grp(r) ∈ AbGrp) supposing valueall-type(X)`

Proof

Definitions occuring in Statement :  fps-add-grp: `fps-add-grp(r)` deq: `EqDecider(T)` valueall-type: `valueall-type(T)` uimplies: `b supposing a` uall: `∀[x:A]. B[x]` member: `t ∈ T` universe: `Type` crng: `CRng` abgrp: `AbGrp`
Definitions unfolded in proof :  uall: `∀[x:A]. B[x]` member: `t ∈ T` uimplies: `b supposing a` fps-add-grp: `fps-add-grp(r)` subtype_rel: `A ⊆r B` crng: `CRng`
Lemmas referenced :  add_grp_of_rng_wf_b fps-rng_wf crng_wf deq_wf valueall-type_wf
Rules used in proof :  sqequalSubstitution sqequalTransitivity computationStep sqequalReflexivity isect_memberFormation introduction cut sqequalRule lemma_by_obid sqequalHypSubstitution isectElimination thin hypothesisEquality independent_isectElimination hypothesis applyEquality lambdaEquality setElimination rename axiomEquality equalityTransitivity equalitySymmetry isect_memberEquality because_Cache universeEquality

Latex:
\mforall{}[X:Type].  \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].    (fps-add-grp(r)  \mmember{}  AbGrp)  supposing  valueall-type(X)

Date html generated: 2016_05_15-PM-09_48_12
Last ObjectModification: 2015_12_27-PM-04_40_44

Theory : power!series

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