lemma
proved
term proof
deriv_phi_eq
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formal statement (Lean)
45private lemma deriv_phi_eq (H : ℝ → ℝ) (h_cont : Continuous H) : deriv (Phi H) = H :=
proof body
Term-mode proof.
46 funext fun t => (phi_hasDerivAt H h_cont t).deriv
47
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (7)
Lean names referenced from this declaration's body.
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H
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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Phi
in IndisputableMonolith.Cost.AczelProof
decl_use
-
phi_hasDerivAt
in IndisputableMonolith.Cost.AczelProof
decl_use
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deriv_phi_eq
in IndisputableMonolith.Cost.AczelTheorem
decl_use
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Phi
in IndisputableMonolith.Cost.AczelTheorem
decl_use
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phi_hasDerivAt
in IndisputableMonolith.Cost.AczelTheorem
decl_use
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H
in IndisputableMonolith.Cost.FunctionalEquation
decl_use