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

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