Source-pinned research

Research proof index

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This index contains 136 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Segment' eq segment

Nat.segment'_eq_segment

Plain-language statement

For a strictly monotonic function f : ℕ → ℕ, segment' f and segment f are actually equal.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Relates In Steps iff configs eq

Turing.MultiTapeTM.relatesInSteps_iff_configs_eq

Project documentation

This lemma translates between the relational notion and the iterated step notion. The latter can be more convenient especially for deterministic machines as we have here.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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