implies
P1661
predicate
Indicates that the truth of one statement guarantees or leads logically to the truth of another statement.
All labels observed (33)
| Label | Occurrences |
|---|---|
| implies canonical | 2,744 |
| inferredFrom | 87 |
| hasImplication | 76 |
| implication | 53 |
| induces | 37 |
| isImpliedBy | 16 |
| impliesProperty | 11 |
| impliedBy | 8 |
| imply | 7 |
| epistemicImplication | 5 |
| impliesRelationship | 5 |
| implicates | 4 |
| impliesIdentity | 4 |
| knownImplication | 4 |
| impliesNegationOf | 3 |
| bowlImplication | 2 |
| exampleImplication | 2 |
| implied | 2 |
| impliesExistenceOf | 2 |
| impliesThat | 2 |
| logicalConsequence | 2 |
| alternatingImplies | 1 |
| equationsOfMotionImply | 1 |
| hasImpliedConcept | 1 |
| ifAheadHumanityImplies | 1 |
| ifBehindHumanityImplies | 1 |
| impliesContinuationOf | 1 |
| impliesEquivalenceWith | 1 |
| impliesStatement | 1 |
| impliesUnderContinuity | 1 |
| implique | 1 |
| mathematicalConsequence | 1 |
| wouldImply | 1 |
Sample triples (3,088)
| Subject | Object |
|---|---|
| Chocolate City | strong African American political leadership in Washington, D.C. ⓘ |
| Chocolate City | strong African American cultural institutions in Washington, D.C. ⓘ |
| Nash embedding theorem | every abstract Riemannian manifold can be realized as a submanifold of Euclidean space ⓘ |
| Commerce Clause |
Commerce Clause
via predicate surface "hasImpliedConcept"
self-linksurface differs
ⓘ
surface form:
dormant Commerce Clause
|
| Original sin | universal sinfulness of human beings ⓘ |
| Original sin | need for divine grace ⓘ |
| Original sin | inability of humans to save themselves ⓘ |
| Original sin | necessity of salvation through Christ ⓘ |
| Original sin | inclination of humans toward sin ⓘ |
| Original sin | spiritual death ⓘ |
| FLRW cosmological models | Hubble–Lemaître law on large scales ⓘ |
| Einstein coefficients | existence of stimulated emission via predicate surface "imply" ⓘ |
| Charles Lyell | 19th-century Scottish geologist description via predicate surface "inferredFrom" ⓘ |
| Uncle Joe | paternal image ⓘ |
| Uncle Joe | folksy familiarity ⓘ |
| Filioque clause in the Nicene Creed | the concept of the monarchy of the Father via predicate surface "implicates" ⓘ |
| Filioque clause in the Nicene Creed | the relationship between economic and immanent Trinity via predicate surface "implicates" ⓘ |
| A Chicken in Every Pot and a Car in Every Garage | widespread economic well-being ⓘ |
| A Chicken in Every Pot and a Car in Every Garage | rising standard of living ⓘ |
| A Chicken in Every Pot and a Car in Every Garage | affordability of consumer goods ⓘ |
|
Hilbert spaces
surface form:
Hilbert space
|
norm via the inner product via predicate surface "induces" ⓘ |
| The Royal Road | state control of route ⓘ |
| The Royal Road | strategic importance ⓘ |
| Third World | marginalization in global power structures ⓘ |
| Third World | economic underdevelopment ⓘ |
| Third World | political dependency ⓘ |
| Tritheism | three separate divine essences ⓘ |
| Tritheism | plurality of gods within Christian framework ⓘ |
| Kakutani fixed-point theorem | fixed point of a correspondence via predicate surface "impliesExistenceOf" ⓘ |
| implicit function theorem | inverse function theorem in special cases ⓘ |
| Janet–Cartan theorem | local realization of analytic Riemannian metrics as induced metrics from Euclidean space ⓘ |
| Huygens–Fresnel principle | light behaves as a wave ⓘ |
| Incarnation of Christ | God’s solidarity with humanity ⓘ |
| Incarnation of Christ | possibility of deification or theosis in some traditions ⓘ |
| Lord | authority of Christ over believers ⓘ |
| Lord | kingship of Christ ⓘ |
| Lord | ownership of Christ over the Church ⓘ |
| binomial theorem | entries of Pascal's triangle are binomial coefficients ⓘ |
| binomial theorem | Σ_{k=0}^n C(n,k) = 2^n via predicate surface "impliesIdentity" ⓘ |
| binomial theorem | Σ_{k=0}^n (-1)^k C(n,k) = 0 for n > 0 via predicate surface "impliesIdentity" ⓘ |
| binomial theorem | Σ_{k=0}^n k C(n,k) = n 2^{n-1} via predicate surface "impliesIdentity" ⓘ |
| binomial theorem | Σ_{k=0}^n k^2 C(n,k) = n(n+1)2^{n-2} via predicate surface "impliesIdentity" ⓘ |
| Franck–Condon principle | nuclei are effectively fixed during an electronic transition ⓘ |
| Franck–Condon principle | most probable transitions are vertical on a potential energy diagram ⓘ |
| Bekenstein–Hawking entropy | information content of a black hole scales with area not volume ⓘ |
| Seal of the Prophets | closure of prophetic office via predicate surface "hasImplication" ⓘ |
| Seal of the Prophets | authority of Muhammad’s message for Muslims via predicate surface "hasImplication" ⓘ |
| Newtonian absolute time | simultaneity is absolute ⓘ |
| Newtonian absolute time | time intervals are invariant between observers ⓘ |
| Newtonian absolute time | no relativity of simultaneity ⓘ |