Nuprl Lemma : comb_for_perm_igrp_wf
λT,z. perm_igrp(T) ∈ T:Type ⟶ (↓True) ⟶ IGroup
Proof
Definitions occuring in Statement :
perm_igrp: perm_igrp(T),
squash: ↓T,
true: True,
member: t ∈ T,
lambda: λx.A[x],
function: x:A ⟶ B[x],
universe: Type,
igrp: IGroup
Definitions unfolded in proof :
member: t ∈ T,
squash: ↓T,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
perm_igrp_wf,
squash_wf,
true_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality_alt,
sqequalHypSubstitution,
imageElimination,
cut,
introduction,
extract_by_obid,
isectElimination,
thin,
hypothesisEquality,
equalityTransitivity,
hypothesis,
equalitySymmetry,
universeIsType,
universeEquality
Latex:
\mlambda{}T,z. perm\_igrp(T) \mmember{} T:Type {}\mrightarrow{} (\mdownarrow{}True) {}\mrightarrow{} IGroup
Date html generated:
2019_10_16-PM-00_59_07
Last ObjectModification:
2018_10_08-AM-09_46_30
Theory : perms_1
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